(g^5)^8 g^13 g^40 8g^5 5g^8
(g^5)^8 g^13 g^40 8g^5 5g^8
Answer
Explanation:
Step 1: Apply the power of a power rule
The rule states that $(a^m)^n = a^{m \cdot n}$. $$(g^5)^8 = g^{5 \cdot 8}$$
Step 2: Multiply the exponents
Calculate the product of 5 and 8. $$5 \cdot 8 = 40$$
Step 3: Write the final expression
Combine the base and the new exponent. $$g^{40}$$
Answer:
$g^{40}$