# How do you simplify 4^5 * 4^3?

Apr 28, 2016

Think about the definition of exponents: repeated multiplication.

Therefore, ${4}^{5}$ is basically just $4 \cdot 4 \cdot 4 \cdot 4 \cdot 4$

Similarly, ${4}^{3}$ is just $4 \cdot 4 \cdot 4$

Thus, if we multiply these together, we get $\left(4 \cdot 4 \cdot 4 \cdot 4 \cdot 4\right) \cdot \left(4 \cdot 4 \cdot 4\right)$

This is just $4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4$ or ${4}^{8}$

There is a formula for this, which is just adding the exponents together, so ${4}^{5 + 3} = {4}^{8}$