Question

After the expression (x^16)3/4 is simplified as much as possible, x is raised to what exponent?

Answer 1

The expression is $\displaystyle { (\displaystyle{x} ^{\displaystyle{ 16})^{\displaystyle{ \frac{3}{4}}$.

By exponents laws, we have $\displaystyle { (a^b)^c=a^{b\cdot c}$. Applying this rule, we have:

$\displaystyle{ (x^{\displaystyle16})^\displaystyle \frac{3}{4}$$=\displaystyle x^{\displaystyle16\cdot \displaystyle\frac{3}{4} }=x^{\displaystyle4\cdot3}=x^{12}$


Answer: 12