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\\

Explanation:

Apply the quotient of powers rule

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

Evaluate the exponential expression

$$ c = 4^4 = 256 $$

Answer:

If \(c\) is a number with no exponent, what is the value of \(c\) in the equation below?

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

<blank>256</blank>