## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$7^{40}$
Using the laws of exponents, the given expression, $(7^8)^5 ,$ simplifies to \begin{array}{l}\require{cancel} 7^{8(5)} \\\\= 7^{40} .\end{array} Note that we are raising something to the 8th power to the 5th power. Because we are raising a power to a power, we multiply the exponents.