# How do you simplify (a^pi)^4?

Jun 14, 2018

${a}^{4 \pi}$ or ${a}^{12.56}$

#### Explanation:

The key realization here is that we have an expression of the form

${\left({a}^{b}\right)}^{c}$, which can be rewritten as ${a}^{b \cdot c}$

We have two exponents, $4$ and $\pi$, so let's just multiply them to get the new exponent. We get:

${a}^{4 \pi}$

Approximating using $3.14$ as $\pi$, we alternatively get

${a}^{4 \cdot 3.14} = {a}^{12.56}$