Solve (4²)³ + (g³)⁴: Multiple Exponent Expression Problem

When you have $(4^2)^3$, you're multiplying $4^2$ by itself 3 times: $4^2 × 4^2 × 4^2$. Using the product rule, this becomes $4^{2+2+2} = 4^6$, which equals $4^{2×3}$.

Product rule: $a^m × a^n = a^{m+n}$ (add exponents when multiplying same bases)

Power rule: $(a^m)^n = a^{m×n}$ (multiply exponents when raising a power to a power)

Variables follow the exact same rules as numbers! For $(g^3)^4$, multiply the exponents: $3 × 4 = 12$, so the answer is $g^{12}$.

You can calculate $4^6 = 4,096$, but usually it's better to leave it as $4^6$ unless the problem specifically asks for the numerical value.

Apply the power rule step by step! For example: $((x^2)^3)^4 = (x^6)^4 = x^{24}$. Work from the inside out, multiplying exponents at each step.