# How do you simplify 2^4*2^5?

Jan 6, 2017

${2}^{9}$ or 512

#### Explanation:

Based on the exponent product rule, which states that whenever you are multiplying exponents with the same base, you just add the exponents together and solve.

In this case 2 is the base and the numbers 4 and 5 represent the exponent:

Therefore, ${2}^{4} \times {2}^{5}$ becomes ${2}^{4 + 5}$, which is the same as ${2}^{9}$ or $2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$.

After you multiply everything together you'll obtain a value of 512.