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Popular >

simplify x^{0.2}(2x)^{0.8}

Solution

simplify

x^{0.2} (2 x)^{0.8}

Solution

2^{0.8} x

Solution steps

x^{0.2} (2 x)^{0.8}

Apply exponent rule:

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

(2 x)^{0.8} = 2^{0.8} x^{0.8}

= x^{0.2} \cdot 2^{0.8} x^{0.8}

Simplify

x^{0.2} x^{0.8} : x

= x \cdot 2^{0.8}

= 2^{0.8} x

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Frequently Asked Questions (FAQ)

What is x^{0.2}(2x)^{0.8} ?
The solution to x^{0.2}(2x)^{0.8} is 2^{0.8}x