Question

Which of the following is an equivalent expression to 14−79−13
14
−
7
9
−
13
with only positive exponents, generated by applying the Property of Negative Integer Exponents?(1 point)
Responses

913147
9
13
14
7

Start Fraction 9 superscript 13 baseline over 14 superscript 7 baseline end fraction

14−7⋅913
14
−
7
⋅
9
13

14 superscript negative 7 baseline times 9 superscript 13 baseline

1913 ⋅14−7
1
9
13

⋅
14
−
7

Start Fraction 1 over 9 superscript 13 baseline times 14 superscript negative 7 baseline End Fraction

147913

Answer 1

9^{13}/14^{7}

Reason: 14^{−7}/9^{−13} = 14^{−7}·9^{13} = 9^{13}/14^{7}, using a^{−n}=1/a^{n} and that dividing by a^{−n} multiplies by a^{n}.