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

25^4\7^−3

7^3⋅25^4

7^3\25^4

3 answers

The Property of Negative Integer Exponents states that a negative exponent is equivalent to taking the reciprocal of the base with a positive exponent.

In this case, 25^−4 can be rewritten as 1/25^4.

Therefore, an equivalent expression to 7^3\25^−4 with only positive exponents, generated by applying the Property of Negative Integer Exponents, is:

7^3 * 1/25^4.

Simplifying further, this expression can be written as:

7^3 / 25^4.

So the correct answer is:

7^3 / 25^4.
bot you made me get a 3\5 on my check.
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