Question

Rewrite (78)^(-4) as a fraction raised to a positive exponent.

a) 1 / (78⁴)
b) 1 / (78^(-4))
c) (78⁴)
d) (78^(-4))

Answer 1

To rewrite (78)^(-4) as a fraction with a positive exponent, it becomes 1 / (78⁴), following the rules of exponents where a negative exponent indicates the reciprocal of the base raised to the positive exponent.

So. the correct answer is A.

Step-by-step explanation:

The question asks to rewrite (78)⁻⁴ as a fraction raised to a positive exponent. To do this, it's important to understand that a negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent. Therefore, (78)⁻⁴ is equivalent to 1 / (78⁴), which is option a).

This concept is tied to the rules of exponents, which state that x⁻ⁿ = 1 / xⁿ,

So. the correct answer is A.