Simplify the Nested Expression: ((b³)⁶)² Using Exponent Rules

Because raising a power to a power means repeated multiplication! When you have $(b^3)^6$, you're multiplying $b^3$ by itself 6 times, which gives you $b^{3+3+3+3+3+3} = b^{18}$.

Always work from inside out! Start with the innermost parentheses first. So $((b^3)^6)^2$ becomes $(b^{18})^2$, then finally $b^{36}$.

Yes! Once you understand the pattern, you can multiply all exponents directly: $3 \times 6 \times 2 = 36$. This gives you $b^{36}$ in one step!

The power rule still applies to each base separately. For example, $(x^2y^3)^4 = x^8y^{12}$. Just multiply each exponent by the outside power.

Count the total number of times the base gets multiplied! In $((b^3)^6)^2$, you have 3 × 6 × 2 = 36 total multiplications of b, so the answer must be $b^{36}$.