Question

value of 2 (256)^-1/8​

Answer 1

Answer:

Step-by-step explanation:

→ 2(2^8)^-1/8

→ 2*2^ -8*1/8

→ 2*2^-1

→ 2*1/2

→ 2/2

→ 1

Answer 2

The value of given expression is 1.

Step-by-step explanation:

The given expression is

$2(256)^{-\frac{1}{8}}$

We need to find the value of given expression.

Using the properties of exponents we get

$2\times \dfrac{1}{(256)^{\frac{1}{8}}}$             $[\because a^{-n}=\dfrac{1}{a^n}]$

$2\times \dfrac{1}{(2^8)^{\frac{1}{8}}}$

$2\times \dfrac{1}{2}$             $[\because (a^m)^n=a^{mn}]$

Cancel out the common factor.

$1$

Therefore, the value of given expression is 1.

#Learn more

Find the value of (256/625)^ -1/2​

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