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Popular >

simplify sqrt((2x)^8)

Solution

simplify

(2 x)^{8}

Solution

16 x^{4}

Solution steps

(2 x)^{8}

Apply radical rule:

assuming

a \geq 0

(2 x)^{8} = (2 x)^{\frac{8}{2}}

= (2 x)^{\frac{8}{2}}

Divide the numbers:

\frac{8}{2} = 4

= (2 x)^{4}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2 x)^{4} = 2^{4} x^{4}

= 2^{4} x^{4}

2^{4} = 16

= 16 x^{4}

Popular Examples

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\frac{- 9}{7} \div \frac{- 8}{10}

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\frac{53 x ^{6}}{13 x ^{- 7}}

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Frequently Asked Questions (FAQ)

What is sqrt((2x)^8) ?
The solution to sqrt((2x)^8) is 16x^4