Question

If c is a number with no exponent, what is the value of c in the equation below?$\frac{ {4}^{7} }{ {4}^{3} } = {a}^{b} = c$

Answer 1

Answer:

c = 256

Explanation:

Given the equation:

$\frac{ {4}^{7} }{ {4}^{3} }={a}^b=c$

We apply the division law of indices to obtain:

$\frac{ {4}^{7} }{ {4}^{3} }={4^{7-3}=4^4=256}$

The value of c is 256.