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?

a. (7^(3)/(25^(4)
b. (25^(4)/(7^(-3)
c. 7^(3)*25^(4)
d. (25^(4)/(7^(3)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To generate an equivalent expression with only positive exponents, we can use the property of negative integer exponents, which states that any term raised to a negative exponent can be reciprocated and have the exponent made positive.

Starting with the expression (7^(3))/(25^(-4)), we can apply the property to the denominator:

(7^(3))/(25^(-4)) = (7^(3))/(1/(25^4))

We can simplify the denominator by flipping it and making the exponent positive:

(7^(3))/(1/(25^4)) = (7^(3)) * (25^4)

Therefore, the equivalent expression is:

c. 7^(3)*25^(4)