Apply the Property of Negative Integer Exponents to rewrite 9^−23 as an expression with positive exponents only.(1 point)
The Property of Negative Integer Exponents states that if a number has a negative exponent, it can be written as the reciprocal of the number with the positive exponent.
Using this property, we can rewrite 9^−23 as:
1/9^23
Apply the Property of Negative Integer Exponents to solve 3^−4. The answer should not contain any exponent expression or decimals.(1 point)
The Property of Negative Integer Exponents states that if a number has a negative exponent, it can be written as the reciprocal of the number with the positive exponent.
Using this property, we can rewrite 3^−4 as:
1/3^4
that incorrect
I apologize for the mistake. Let me correct it.
To solve 3^−4 using the Property of Negative Integer Exponents, we can rewrite it as:
1 / 3^4
Since 3^4 = 81, the expression simplifies to:
1/81
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7^−3⋅7^−5 with positive exponents only.(1 point)
The Property of Negative Integer Exponents states that by multiplying two numbers with negative exponents, we can combine the exponents and write the expression with a positive exponent.
Using this property, we can rewrite 7^−3⋅7^−5 as:
7^(-3-5)
Simplifying the exponents, we get:
7^-8
thats incorrect
Apologies for the mistake. Let me correct it.
To rewrite 7^−3⋅7^−5 with positive exponents only using the Property of Negative Integer Exponents, we can combine the exponents and write the expression as:
7^(-3-5) = 7^(-8)
Since the exponent is negative, we can apply the Property of Negative Exponents again to make it positive:
7^(-8) = 1/7^8
So, the expression with positive exponents only is 1/7^8.
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5^−9/4^−12 with positive exponents only.(1 point)
To generate an expression equivalent to 5^−9/4^−12 with positive exponents only, we can utilize the Property of Negative Integer Exponents which states that a number with a negative exponent can be written as the reciprocal with a positive exponent.
Using this property, we can rewrite the expression as:
(1/5^9)/(1/4^12)
To simplify this expression, we can apply the rule of dividing fractions which states that dividing by a fraction is equivalent to multiplying by its reciprocal.
(1/5^9) * (4^12/1)
Now, let's simplify each part separately.
(1/5^9) = 1/1953125
(4^12) = 16777216
Putting it all together, the expression with positive exponents only is:
(1/1953125) * 16777216
If you need a simplified form, you can calculate the product:
16777216/1953125 = 292.
thats incorrect, give me a different answer
Apologies for the mistake. Let me correct it.
To rewrite 5^−9/4^−12 with positive exponents only using the Property of Negative Integer Exponents, we can apply the reciprocal property to both bases.
5^−9/4^−12 can be rewritten as:
(1/5^9)/(1/4^12)
To simplify this expression, we can multiply the numerator by the reciprocal of the denominator:
(1/5^9) * (4^12/1)
Now, let's simplify each part separately.
(1/5^9) can be written as 5^(-9) using the Property of Negative Exponents, which means we can use the reciprocals property to write it as 5^9.
Similarly, (4^12) can be written as 4^(12) using the reciprocals property.
Putting it all together, the expression with positive exponents only is:
5^9/4^12
thats incorrect, can you give me all possible answers to the question, Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5^−9/4^−12 with positive exponents only.(1 point)
Apologies for the confusion. Let's approach the problem again.
To generate an expression equivalent to 5^−9/4^−12 with positive exponents only, we can utilize the Property of Negative Integer Exponents.
Using this property, we can rewrite the expression as follows:
(1/5^9)/(1/4^12)
To simplify this expression, we can multiply the numerator and denominator by the reciprocal of the denominator:
(1/5^9) * (4^12/1)
Now, let's simplify each part separately.
(1/5^9) can be rewritten as 5^(-9) using the Property of Negative Exponents. To make it positive, we take the reciprocal:
(1/5^9) = 5^9
Similarly, (4^12) can be written as 4^(12) without changing the sign.
Putting it all together, the possible expressions with positive exponents only are:
5^9/4^12
OR
4^12/5^9