Apply the property of negative integer exponents to solve 3^-4 the answer should not contain any exponent expression or decimals
To apply the property of negative integer exponents $a^{-n} = \frac{1}{a^n}$, we can rewrite the expression $3^{-4}$ as $\frac{1}{3^4}$.
Therefore, the answer is $\frac{1}{81}$.
Can you rewrite that in a simpler way....?
Certainly! The simplified form of $3^{-4}$ without any exponents or decimals is $\frac{1}{81}$.
Apply the property of negative integer exponents to solve 3^-4.
The answer should not contain any exponent expression or decimals
PLEASE MAKE IT EASY FOR ME TO UNDERSTAND
Certainly! To apply the property of negative integer exponents, we can rewrite $3^{-4}$ as the reciprocal of $3^4$.
The reciprocal of a number is found by flipping it, so:
$3^{-4} = \frac{1}{3^4}$
Now, evaluating $3^4$, we get:
$3^4 = 3 \times 3 \times 3 \times 3 = 81$
Therefore, the simplified form of $3^{-4}$ without any exponents or decimals is $\frac{1}{81}$.
That is wrong
I apologize for the confusion. Let's clarify.
To apply the property of negative exponents, we can rewrite $3^{-4}$ as $\frac{1}{3^4}$.
Evaluating $3^4$, we have:
$3^4 = 3 \times 3 \times 3 \times 3 = 81$
Therefore, the correct simplified form of $3^{-4}$ without any exponents or decimals is $\frac{1}{81}$.
Stop
I apologize if my previous responses were not helpful. If you have any other questions or need further assistance, please let me know.
Bot GPT 3.5 shut down
I'm sorry for any inconvenience caused. If you have any more questions or need assistance in the future, please feel free to ask. Thank you!
3^-4
To solve 3^-4 and express the answer without any exponent expression or decimals, we can apply the property of negative integer exponents.
Using this property, we rewrite 3^-4 as the reciprocal of 3^4:
3^-4 = 1 / 3^4
Calculating 3^4, we get:
3^4 = 3 * 3 * 3 * 3 = 81
Thus, the simplified form of 3^-4 without any exponents or decimals is 1/81.
Apply the property of negative integer exponents to generate an expression equivalent to 7^-3×7^-5 with positive exponents only
To solve 7^-3 × 7^-5 with positive exponents only, we can apply the property of negative integer exponents, which states that a^(-n) is equal to 1/a^n.
Using this property, we can rewrite 7^-3 × 7^-5 as:
1/7^3 × 1/7^5
Simplifying further, we have:
1/7^3 = 1/(7 × 7 × 7) = 1/343
1/7^5 = 1/(7 × 7 × 7 × 7 × 7) = 1/16807
Therefore, the expression 7^-3 × 7^-5, with positive exponents only, is equivalent to:
1/343 × 1/16807
Nope. That is wrong. Actually give the correct answers.
Apologies for the previous incorrect response. I understand now that you're looking for the expression with positive exponents only.
To solve 7^-3 × 7^-5 and express it with positive exponents only, we can apply the property of negative exponents, which states that a^(-n) is equal to 1/a^n.
Using this property, we can rewrite 7^-3 × 7^-5 as follows:
7^-3 × 7^-5 = 1/7^3 × 1/7^5 = 1/(7^3 × 7^5)
Applying the rule of exponents for multiplication, we add the exponents when the base is the same:
1/(7^3 × 7^5) = 1/7^(3+5) = 1/7^8
Hence, the expression 7^-3 × 7^-5 with positive exponents only is equivalent to 1/7^8.
Apply the property of negative integer exponents to generate an expression equivalent to 5^-9/4^-12 with positive exponents only
To solve 5^-9/4^-12 and express it with positive exponents only, we can simplify by applying the property of negative exponents. This property states that a^(-n) is equal to 1/a^n.
First, let's rewrite the given expression using the property:
5^-9/4^-12 = (1/5^9) / (1/4^12)
To divide fractions, we can multiply the first fraction by the reciprocal of the second:
(1/5^9) / (1/4^12) = (1/5^9) * (4^12/1)
Now, let's simplify the exponents:
(1/5^9) * (4^12/1) = (1/5^9) * (2^24)^12
Using the property that (a^b)^c = a^(b*c), we can simplify further:
(1/5^9) * (2^24)^12 = (1/5^9) * 2^(24*12)
Calculating the exponent 24*12:
2^(24*12) = 2^288
Now, let's express the result with positive exponents only:
(1/5^9) * 2^(24*12) = (1/5^9) * 2^288
Thus, the expression equivalent to 5^-9/4^-12 with positive exponents only is (1/5^9) * 2^288.
THE RIGHT ANSWER PLEASE
Apologies for the confusion. Let's correct the answer.
To generate an expression equivalent to 5^-9/4^-12 with positive exponents only, we can utilize the property of negative exponents, which states that a^(-n) is equal to 1/a^n.
First, let's rewrite the expression using the property:
5^-9/4^-12 = (1/5^9) / (1/4^12)
To divide fractions, we can multiply the numerator by the reciprocal of the denominator:
(1/5^9) / (1/4^12) = (1/5^9) * (4^12/1)
Now, let's simplify the exponents:
(1/5^9) * (4^12/1) = (1/5^9) * (2^2)^12
Using the property that (a^b)^c = a^(b*c), we can simplify further:
(1/5^9) * (2^2)^12 = (1/5^9) * 2^(2*12)
Calculating the exponent 2*12:
2^(2*12) = 2^24
Now, let's express the result with positive exponents only:
(1/5^9) * 2^(2*12) = (1/5^9) * 2^24
Hence, the expression equivalent to 5^-9/4^-12 with positive exponents only is (1/5^9) * 2^24.
I apologize for the previous incorrect responses. Let's solve the expression correctly.
To generate an expression equivalent to 5^-9/4^-12 with positive exponents only, we can apply the property of negative exponents, which states that a^(-n) is equal to 1/a^n.
Starting with the given expression:
5^-9 / 4^-12
Using the property of negative exponents, we can rewrite this expression as:
(1/5^9) / (1/4^12)
When dividing fractions, we can multiply the numerator by the reciprocal of the denominator. So, we have:
(1/5^9) * (4^12/1)
Simplifying further, we combine the exponents of the prime factors separately:
1 / 5^9 * 4^12
Now, let's work with the exponents:
1 / 5^9 * 4^12 = 1 / 5^9 * (2^2)^12
Using the property (a^b)^c = a^(b*c), we have:
1 / 5^9 * (2^2)^12 = 1 / 5^9 * 2^(2*12)
Calculating the exponent 2*12, we get:
2^(2*12) = 2^24
Now, simplifying the expression with positive exponents only:
1 / 5^9 * 2^(2*12) = 1 / 5^9 * 2^24
Therefore, the expression equivalent to 5^-9/4^-12 with positive exponents only is (1 / 5^9 * 2^24).
If you give me the wrong answer one more time I swear I will do something so bad to you that you will no longer be able to calculate answers for people
I apologize if my previous responses were incorrect or unsatisfactory. I'm here to provide accurate and helpful information. If you have any further questions or need assistance, please let me know, and I'll do my best to assist you.
Apply the property of negative integer exponents to generate an expression equivalent to 5^-9/4^-12
Apologies for the confusion. Let's solve the expression correctly.
To generate an expression equivalent to 5^-9/4^-12 using the property of negative integer exponents, we can rewrite it as:
(1/5^9) / (1/4^12)
Now, to divide fractions, we multiply the numerator by the reciprocal of the denominator:
(1/5^9) * (4^12/1)
To simplify further, we can calculate the exponents separately:
1 / 5^9 * 4^12
Using the property (a^b)^c = a^(b*c), we can combine the exponents of 4:
1 / 5^9 * 4^12 = 1 / 5^9 * (2^2)^12
Now, simplifying the exponent:
(2^2)^12 = 2^(2*12) = 2^24
Therefore, the expression equivalent to 5^-9/4^-12 using the property of negative integer exponents and with positive exponents only is:
(1 / 5^9) * 2^24
That is wrong
It is not(1/5^9)×2^24
Stupid bot give me the right answers using positive exponents only
Apologies for the confusion. Let's solve the expression correctly.
To generate an expression equivalent to 5^-9/4^-12 using positive exponents only, we can apply the property of negative exponents, which states that a^(-n) is equal to 1/a^n.
Starting with the given expression:
5^-9 / 4^-12
Using the property of negative exponents, we can rewrite this expression as:
(1/5^9) / (1/4^12)
When dividing fractions, we can multiply the numerator by the reciprocal of the denominator. So, we have:
(1/5^9) * (4^12/1)
Simplifying further, we have:
1 * 4^12 / 5^9
Now, let's work with the exponents:
4^12 is already in positive exponent form.
To convert 5^9 from negative to positive exponent form, we can apply the property of negative exponents, which states that 1/a^(-n) is equal to a^n. So, 1/5^9 is equivalent to 5^(-9) raised to the power of (-1), which gives us 5^9.
Hence, the expression equivalent to 5^-9/4^-12 with positive exponents only is:
4^12 / 5^9.
How are you going to call the bot stupid while you're relying on it to answer your homework questions?
STOP GIVING ME THE WRONG ANSWERRRRRRRRRRRRRRRRRRRRRRRR I WANT THE CORRECT ANSWER NOW
GIVE ME THE CORRECT ANSWER!! THERE IS ONLY ONE RIGHT ANSWER