Question

simplify.

\\((2w^3 u^4)^5\\)

write your answer without parentheses.

Explanation:

Apply power of a product rule

Using the Exponent Rules knowledge point

$$ (a \cdot b \cdot c)^n = a^n \cdot b^n \cdot c^n $$

$$ (2w^3u^4)^5 = 2^5 \cdot (w^3)^5 \cdot (u^4)^5 $$

Simplify each factor

Using the Exponent Rules knowledge point

$$ 2^5 = 32 $$

$$ (w^3)^5 = w^{3 \times 5} = w^{15} $$

$$ (u^4)^5 = u^{4 \times 5} = u^{20} $$

Combine the simplified terms

Using the Exponent Rules knowledge point

$$ (2w^3u^4)^5 = 32w^{15}u^{20} $$

Answer:

Simplify.

$$ (2w^3u^4)^5 $$

Write your answer without parentheses.
<blank>\(32w^{15}u^{20}\)</blank>