Question

simplify :(256) 5/8.

Answer 1

2 raise to power 8 is equal to 256;so ((2)8)5/8=(2)5=32

Answer 2

Answer:

After simplifying we get 32.

Step-by-step explanation:

Step 1:- According to the question,

we can write, 256 as 2⁸.

∴ $(256)^{\frac{5}{8} }$

= $\left(2^{8}\right)^{\frac{5}{8}}$     [ ∵ 256 can be written as 2⁸ ]

= $(2)^{8 \times \frac{5}{8}}$   [ Taking the power out of the brackets]

= $(2)^{5}$       [ after canceling 8 in the above step we get only the remaining 5 ]

= 2 × 2 × 2 × 2 × 2

= 32 (Ans)

Hence after simplifying we get 32.

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