Question

Third power of $\frac{1}{4}\times$ fourth power of 4 equals to ______.

• A. $4^2$
• B. $4^3$
• C. $4$
• D. $4^0$

Answer 1

The correct option is C

$4$

Third power of $\frac{1}{4}=(\frac{1}{4}{)}^3$
Fourth power of 4 is equal to $4^4$.

$(\frac{1}{4}{)}^3\times 4^4$
= $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times 4\times 4\times 4\times 4$
= $\frac{4\times 4\times 4\times 4}{4\times 4\times 4}$
= $\frac{4^4}{4^3}$
= 4