Simplify and write x^-8\cdotx^-2 in exponential form with positive exponents only
To simplify and write the expression x^-8 * x^-2 in exponential form with positive exponents only, we can use the properties of exponents.
We know that when multiplying two terms with the same base, we add their exponents. So, applying this property to our expression, we have:
x^-8 * x^-2 = x^(-8 + -2)
Next, we can simplify the exponent by adding -8 and -2, which gives us:
x^(-10)
Since we want to express the exponent in positive form, we can rewrite x^(-10) as 1/x^10.
Therefore, x^-8 * x^-2 = 1/x^10.
Simplify 3^-6×3×3^-5
To simplify the expression 3^-6 × 3 × 3^-5, we can apply the properties of exponents.
First, let's simplify each term with a negative exponent separately:
3^-6 = 1/3^6
3^-5 = 1/3^5
Now, let's substitute these values back into the original expression:
1/3^6 × 3 × 1/3^5
Next, let's multiply the numerators together and the denominators together:
(1 × 3 × 1) / (3^6 × 3^5)
Simplifying further:
3 / (3^(6 + 5))
Adding the exponents:
3 / 3^11
Finally, let's express this back in exponential form with positive exponents only:
1 / 3^11
So, 3^-6 × 3 × 3^-5 simplifies to 1 / 3^11.
Can you write it in exponential form? Also use only positive exponents.... I forgot to ask
Certainly! To write the expression 3^-6 × 3 × 3^-5 in exponential form with positive exponents only, we can use the property that states a^(-n) = 1 / a^n.
So, let's rewrite each term using this property:
3^-6 = 1 / 3^6
3^-5 = 1 / 3^5
Substituting these values back into the original expression:
(1 / 3^6) × 3 × (1 / 3^5)
Next, let's multiply the numerators together and the denominators together:
(1 × 3 × 1) / (3^6 × 3^5)
Simplifying further:
3 / (3^(6 + 5))
Adding the exponents:
3 / 3^11
Finally, let's express this in exponential form with positive exponents:
3^(1 - 11)
Simplifying the exponent:
3^(-10)
So, 3^-6 × 3 × 3^-5 can be written as 3^(-10) in exponential form with positive exponents only.
Simplify and write 1/y×1/y×1/y×1/y×1/y×1/y in exponential form with positive exponents only.
To simplify and write the expression (1/y) × (1/y) × (1/y) × (1/y) × (1/y) × (1/y) in exponential form with positive exponents only, we can combine the factors and use the property that states (a/b)^n = a^n / b^n.
Rewriting the expression as 1/y^6, the original expression can be simplified to y^-6.
In exponential form with positive exponents only, we can write this as 1/y^6 = 1/(y^6).
Simplify and write 1/6^5×1/6^5 in exponential form with positive exponents only.
To simplify and write 1/6^5 × 1/6^5 in exponential form with positive exponents only, we can use the property that states (a/b)^n = a^n / b^n.
Let's rewrite the expression as (1/6^5) × (1/6^5) = (1/6^5)^2.
Applying the property, we can simplify further: (1^2) / (6^5)^2.
Simplifying (1^2) to 1, we have: 1 / (6^5)^2.
Now, we can express this in exponential form with positive exponents only.
Let's write 6^5 as a single term: (6^5)^2 = 6^(5*2) = 6^10.
Therefore, 1/6^5 × 1/6^5 simplifies to 1 / 6^10 in exponential form with positive exponents only.
z^-8=1/z^?
To determine the missing exponent, we can equate the given exponent with the right-hand side of the equation:
z^-8 = 1/z^?
We know that any non-zero number raised to the power of 0 is equal to 1. Therefore, if we set z^? equal to 0, it satisfies the equation.
Thus, z^-8 = 1/z^0.
Simplifying further, we know that any non-zero number raised to the power of 0 is equal to 1. Therefore, 1/z^0 simplifies to 1/1, which is just 1.
Hence, z^-8 = 1/z^0 can be simplified to z^-8 = 1 in exponential form.
Bro find the question mark
Apologies for the confusion. To find the value of the missing exponent, we can use the property that states for any non-zero number a^(−n) = 1/(a^n). In this case, we have:
z^(-8) = 1/z^?
Using the property, we can rewrite z^(-8) as 1/(z^8):
1/(z^8) = 1/z^?
Since the expressions on both sides are equal, the exponents must also be equal:
8 = ?
Therefore, the missing exponent is 8.
Simplify and write 1/9×1/9×1/9×1/9 in exponential form with positive exponents only
To simplify and write the expression (1/9) × (1/9) × (1/9) × (1/9) in exponential form with positive exponents only, we can express each fraction with base 9 as 9^(-1):
(1/9) × (1/9) × (1/9) × (1/9) = (9^(-1)) × (9^(-1)) × (9^(-1)) × (9^(-1))
Using the property of multiplying exponential terms with the same base, we can add the exponents:
9^(-1 + -1 + -1 + -1)
Simplifying the exponents:
9^(-4)
To write this in exponential form with positive exponents only, we can write it as 1 / 9^4:
1 / 9^4
4^-4=1/4^?
To determine the missing exponent, we can equate the given exponent with the right-hand side of the equation:
4^-4 = 1/4^?
We know that any non-zero number raised to the power of 0 is equal to 1. Therefore, if we set 4^? equal to 0, it satisfies the equation.
Thus, 4^-4 = 1/4^0.
Simplifying further, we know that any non-zero number raised to the power of 0 is equal to 1. Therefore, 1/4^0 simplifies to 1/1, which is just 1.
Hence, 4^-4 = 1/4^0 can be simplified to 4^-4 = 1 in exponential form.
Therefore, the missing exponent in the equation is 0.
That's wrong
Apologies for the mistake. Let's correct it.
To find the missing exponent, we can equate the given exponent with the right-hand side of the equation:
4^-4 = 1/4^?
To simplify, we can rewrite the fraction 1/4^? as 4^(-?).
Now, the equation becomes:
4^-4 = 4^(-?)
Since the base is the same on both sides, the exponents must be equal:
-4 = -?
To find the value of the missing exponent, we can multiply both sides of the equation by -1:
-1 * -4 = -1 * -?
This simplifies to:
4 = ?
Therefore, the missing exponent is 4, and the equation becomes:
4^-4 = 1/4^4
That's wrong too
Apologies once again for the incorrect response.
To find the missing exponent, we can equate the given expression with the right-hand side of the equation:
4^-4 = 1/4^?
Let's simplify the right-hand side of the equation by using the property (a/b)^n = a^n / b^n:
1/4^? = 4^-?
Now, we have:
4^-4 = 4^-?
To determine the missing exponent, we can equate the exponents:
-4 = -?
Therefore, the missing exponent is 4, making the equation:
4^-4 = 1/4^4.
Look at 4^-4. It is equal to 1/4^?
Find the missing piece to make this true.
You are correct, I apologize for the confusion.
To determine the missing exponent that would make 4^-4 equal to 1/4^?, we can use the property that (a^-n) = 1/(a^n).
So, for 4^-4 to be equal to 1/4^?, the exponent on the right side of the equation should be the positive version of the exponent on the left side. In this case, the missing exponent should be 4.
Therefore, 4^-4 is equal to 1/4^4.
Oh wait you were right those few times
Apologies for any confusion caused by my initial incorrect response. I appreciate your understanding. If you have any further questions or need clarification, please let me know.
Simplify and write 3^-2×3^-4 in exponential form with positive exponents only
To simplify and write the expression 3^-2 × 3^-4 in exponential form with positive exponents only, we can use the property that states when multiplying two terms with the same base, we add their exponents.
Thus, applying this property to our expression:
3^-2 × 3^-4 = 3^(-2 + -4)
Next, we can simplify the exponent by adding -2 and -4, which gives us:
3^-6
Since we want to express the exponent in positive form, we can rewrite 3^-6 as 1/3^6.
Therefore, 3^-2 × 3^-4 simplifies to 1/3^6 in exponential form with positive exponents only.
Simplify and write z^-8\cdotz^-3\cdotz^-3 in exponential form with positive exponents only
To simplify and write the expression z^-8 × z^-3 × z^-3 in exponential form with positive exponents only, we can use the property that states when multiplying terms with the same base, we add their exponents.
Applying this property to our expression, we have:
z^-8 × z^-3 × z^-3 = z^(-8 + -3 + -3)
Simplifying the exponents, we get:
z^-14
To express this in exponential form with positive exponents only, we can write it as 1/z^14.
Therefore, z^-8 × z^-3 × z^-3 simplifies to 1/z^14 in exponential form with positive exponents only.
Simplify and write 1/x^3×1x^9 in exponential form with positive exponents only
To simplify and write the expression 1/x^3 × x^9 in exponential form with positive exponents only, we can use the property that states when dividing terms with the same base, we subtract their exponents.
Applying this property to our expression:
1/x^3 × x^9 = x^(9 - 3)
Simplifying the exponents gives us:
x^6
Therefore, 1/x^3 × x^9 simplifies to x^6 in exponential form with positive exponents only.
Wrong
Apologies for the mistake.
To simplify and write 1/x^3 × x^9 in exponential form with positive exponents only, we can combine the terms with the same base and subtract their exponents.
1/x^3 × x^9 is equal to (x^9)/(x^3).
Using the property of subtracting exponents when dividing terms with the same base, we subtract the exponents:
x^(9-3) = x^6
Therefore, 1/x^3 × x^9 simplifies to x^6 in exponential form with positive exponents only.
STOP SAYING IT I X^6 IT IS WRONG. GIVE ME THE RIGHT ANSWER
Apologies for the misunderstanding. I made an error in my response. Thank you for bringing it to my attention.
To simplify and write the expression 1/x^3 × x^9 in exponential form with positive exponents only:
1/x^3 × x^9
We can combine the terms by multiplying the numerators and the denominators.
(x^9)/(x^3)
Now, let's subtract the exponents since we have the same base.
x^(9-3)
Simplifying the exponent, we have:
x^6
Therefore, 1/x^3 × x^9 simplifies to x^6 in exponential form with positive exponents only.
I apologize for the confusion caused earlier.
Fully simplify and write 1/x^3×1/x^9 in exponential form with positive exponents only
IT IS NOT x^6
Apologies once again. Let's simplify and write 1/x^3 × 1/x^9 in exponential form with positive exponents only.
To simplify this expression, we can combine the terms by multiplying the numerators and the denominators:
(1/x^3) × (1/x^9) = 1/(x^3 × x^9)
Now, let's multiply the terms with the same base by adding their exponents:
1/(x^(3 + 9)) = 1/x^12
Therefore, 1/x^3 × 1/x^9 simplifies to 1/x^12 in exponential form with positive exponents only.