Apply the Property of Negative Integer Exponents to rewrite 15^−38 as an expression with positive exponents only.
The property of negative integer exponents states that a number raised to a negative exponent is equal to the reciprocal of that number raised to the positive exponent.
So, applying this property to rewrite 15^−38, we have:
15^−38 = 1 / 15^38
The property of negative integer exponents states that a number raised to a negative exponent is equal to the reciprocal of that number raised to the positive exponent.
So, applying this property to rewrite 9^−23, we have:
9^−23 = 1 / 9^23
The property of negative integer exponents states that a number raised to a negative exponent is equal to the reciprocal of that number raised to the positive exponent.
So, applying this property and simplifying, we have:
3^−4 = 1 / 3^4
Now, let's simplify 3^4:
3^4 = 3 × 3 × 3 × 3 = 81
Therefore:
3^−4 = 1 / 81
To generate an expression equivalent to 7^−3 ⋅ 7^−5 with positive exponents only, we can apply the property of negative integer exponents which states that when multiplying the same base raised to negative exponents, the exponents can be combined by adding them and then taking the reciprocal.
So, let's apply the property:
7^−3 ⋅ 7^−5 = 1/7^3 ⋅ 1/7^5
Now, let's combine the exponents:
1/7^3 ⋅ 1/7^5 = 1/7^(3+5)
Simplifying further, we get:
1/7^(3+5) = 1/7^8
Therefore, an expression equivalent to 7^−3 ⋅ 7^−5 with positive exponents only is 1/7^8.
To generate an expression equivalent to 5^(-9)/4^(-12) with positive exponents only, we can apply the property of negative integer exponents that states when a number with a negative exponent is in the denominator, the negative exponent can be moved to the numerator and become positive.
So, in this case, we have:
5^(-9)/4^(-12)
Applying the property, we can move the negative exponents to the numerator:
= 4^(12)/5^(9)
Therefore, an expression equivalent to 5^(-9)/4^(-12) with positive exponents only is 4^(12)/5^(9).
The expression that is equivalent to 1/8^5 is 8^(-5).
So, the correct option is 8^−5.
To generate an equivalent expression to 13^−5 ⋅13^−11 with only positive exponents, we can apply the property that states when multiplying two bases with negative exponents, the exponents can be combined by adding them and then taking the reciprocal.
So, in this case, we have 13^−5 ⋅13^−11.
Applying the property, we can combine the exponents:
= 1/13^(5 + 11)
= 1/13^16
Therefore, an equivalent expression to 13^−5 ⋅13^−11 with only positive exponents is 1/13^16.
So, the correct option is 1/13^16.
To generate an equivalent expression to 7^3/25^−4 with only positive exponents, we can apply the property of negative integer exponents, which states that when a number with a negative exponent is in the denominator, the negative exponent can be moved to the numerator and become positive.
So, in this case, we have 7^3/25^−4.
Applying the property, we can move the negative exponent to the numerator:
= 7^3 * 25^4
Therefore, an equivalent expression to 7^3/25^−4 with only positive exponents is 7^3 * 25^4.
So, the correct option is 7^3⋅25^4.
Apply the Property of Negative Integer Exponents to rewrite 9^−23 as an expression with positive exponents only
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7^−3⋅7^−5 with positive exponents only.
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5^−94^−12 with positive exponents only.
To generate an expression equivalent to 5^−9 4^−12 with positive exponents only, we can apply the property of negative integer exponents that states when multiplying the bases with negative exponents together, the exponents can be combined by adding them and then taking the reciprocal.
So, in this case, we have:
5^−9 4^−12
Let's apply the property:
= 1/ (5^9 4^12)
Therefore, an expression equivalent to 5^−9 4^−12 with positive exponents only is 1/ (5^9 4^12).
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5^−9/4^−12 with positive exponents only.
Which of the following is developed to be equivalent to 1/8^5?(1 point)
Responses
5^−8
5 superscript negative 8 baseline
8^−5
8 superscript negative 5 baseline
8/15
8 Start Fraction 1 over 5 End Fraction
8^5
Which of the following is equivalent to 6^−2?(1 point)
Responses
1/36
Start Fraction 1 over 36 End Fraction
36
1/6^−2
Start Fraction 1 over 6 superscript negative 2 baseline End Fraction
1/2^6
Which of the following is an equivalent expression to 13^−5 ⋅13^−11 with only positive exponents, generated by applying the properties of exponents?(1 point)
Responses
1/26^6
Start Fraction 1 over 26 superscript 6 baseline end fraction
1/26^16
Start Fraction 1 over 26 superscript 16 baseline end fraction
1/13^16
Start Fraction 1 over 13 superscript 16 baseline end fraction
1/13^6
Which of the following is an equivalent expression to 14^−7/9^−13 with only positive exponents, generated by applying the Property of Negative Integer Exponents?
14^−7⋅9^13
14 superscript negative 7 baseline times 9 superscript 13 baseline
14^7/9^13
Start Fraction 14 superscript 7 baseline over 9 superscript 13 baseline End Fraction
1/9^13 ⋅14^−7
Start Fraction 1 over 9 superscript 13 baseline times 14 superscript negative 7 baseline End Fraction
9^13/14^7
Which of the following is an equivalent expression to 7^3/25^−4 with only positive exponents, generated by applying the Property of Negative Integer Exponents?
25^4/7^3
Start Fraction 25 superscript 4 baseline over 7 cubed end fraction
7^3⋅25^4
7 cubed times 25 superscript 4 baseline
25^4/7^−3
Start Fraction 25 superscript 4 baseline over 7 negative cubed end fraction
7^3/25^4
Apply the Property of Negative Integer Exponents to solve 3^−4. The answer should not contain any exponent expression or decimals
The expression that is equivalent to 6^−2 is 1/6^2.
So, the correct option is 1/6^−2.
To generate an equivalent expression to 14^−7/9^−13 with only positive exponents, we can apply the property of negative integer exponents, which states that when a number with a negative exponent is in the denominator, the negative exponent can be moved to the numerator and become positive.
So, in this case, we have 14^−7/9^−13.
Applying the property, we can move the negative exponents to the numerator:
= 14^7/9^13
Therefore, an equivalent expression to 14^−7/9^−13 with only positive exponents is 14^7/9^13.
So, the correct option is 14^7/9^13.