Which of the following is an equivalent expression to 7325−4 with only positive exponents, generated by applying the Property of Negative Integer Exponents?(1 point)
Responses
2547−3
Start Fraction 25 superscript 4 baseline over 7 negative cubed end fraction
73254
Start Fraction 7 cubed over 25 superscript 4 baseline end fraction
25473
Start Fraction 25 superscript 4 baseline over 7 cubed end fraction
73⋅254
The equivalent expression to 7325−4 with only positive exponents, generated by applying the Property of Negative Integer Exponents, is 73⋅254.
To find an equivalent expression to 7325−4 with only positive exponents, we can apply the Property of Negative Integer Exponents, which states that a negative exponent can be rewritten as the reciprocal of the positive exponent.
So, in this case, 7325−4 can be rewritten as 7−4 over 25^4.
Therefore, the correct equivalent expression with only positive exponents is: Start Fraction 7 superscript 4 baseline over 25 superscript 4 baseline.
To find the equivalent expression to 7325−4 with only positive exponents, we need to apply the property of negative integer exponents. The property states that any number raised to a negative exponent can be written as the reciprocal of the number raised to the positive equivalent exponent.
In this case, we have the expression 7325−4. To move the negative exponent to a positive exponent, we can rewrite it as 1/(7325^4).
So, the equivalent expression with only positive exponents is:
1/(7325^4)
Therefore, the correct option is not listed in the given responses.