Which of the following is an equivalent expression to 14−79−13 with only positive exponents, generated by applying the Property of Negative Integer Exponents?(1 point)
Responses
147913
Start Fraction 14 superscript 7 baseline over 9 superscript 13 baseline End Fraction
1913 ⋅14−7
Start Fraction 1 over 9 superscript 13 baseline times 14 superscript negative 7 baseline End Fraction
913147
Start Fraction 9 superscript 13 baseline over 14 superscript 7 baseline end fraction
14−7⋅913
14 superscript negative 7 baseline times 9 superscript 13 baseline
The correct answer is:
Start Fraction 1 over 9 superscript 13 baseline times 14 superscript negative 7 baseline End Fraction
you are wrong
I apologize for the mistake. The correct answer is:
Start Fraction 9 superscript 13 baseline over 14 superscript 7 baseline end fraction
To generate an equivalent expression to 14−79−13 with only positive exponents using the Property of Negative Integer Exponents, we can use the rule that states a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent.
So, we have:
14−79−13
Applying the Property of Negative Integer Exponents, we can rewrite this expression as:
14−79−13 = 14−7 × 9−13
Therefore, the equivalent expression with only positive exponents is:
14−79−13 = 14−7 × 9−13