Chapter 7 - Exponents and Exponential Functions - 7-3 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 43

$(b^{2})^{4} = b^{8}$

When we raise a power to a power, we multiply the powers together and keep the base. We have to think what number multiplied with $2$ will give us $8$: $2x = 8$ Divide each side by $2$ to solve: $x = 4$ Let's rewrite the equation: $(b^{2})^{4} = b^{8}$