Question

question

simplify \\((256)^{\frac{3}{4}}\\)

provide your answer below:

Explanation:

Express the base as a power of a prime number

$$ 256 = 2^8 = 4^4 $$

Apply the power of a power rule

$$ (256)^{\frac{3}{4}} = (4^4)^{\frac{3}{4}} = 4^{4 \times \frac{3}{4}} = 4^3 $$

Evaluate the final power

$$ 4^3 = 64 $$

Answer:

Simplify \((256)^{\frac{3}{4}}\)

Provide your answer below:
<blank>64</blank>