Which of the following is an equivalent expression to 7^(3)/25^(−4) with only positive exponents, generated by

Question

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?(1 point)
Responses

7^(3)/25^(4)
Start Fraction 7 cubed over 25 superscript 4 baseline end fraction

25^(4)/7^(3)
Start Fraction 25 superscript 4 baseline over 7 cubed end fraction

25^(4)/7^(−3)
Start Fraction 25 superscript 4 baseline over 7 negative cubed end fraction

7^(3)⋅25^(4)

GPT-5 mini · Answer

7^3 · 25^4

Reason: dividing by 25^(−4) is the same as multiplying by 25^4, so 7^3 / 25^(−4) = 7^3 · 25^4.

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