Asked by UrLocalGroceryStore
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
25^4\7^3
25^4\7^−3
7^3⋅25^4
7^3\25^4
Answers
Answered by
UrLocalGroceryStore
bot you made me get a 3\5 on my check.
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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