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Popular >

simplify (2x^{10})^{3/2}

Solution

simplify

(2 x^{10})^{\frac{3}{2}}

Solution

2 \cdot 2^{\frac{1}{2}} x^{15}

Solution steps

(2 x^{10})^{\frac{3}{2}}

Apply exponent rule:

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

(2 x^{10})^{\frac{3}{2}} = 2^{\frac{3}{2}} (x^{10})^{\frac{3}{2}}

= 2^{\frac{3}{2}} (x^{10})^{\frac{3}{2}}

Simplify

(x^{10})^{\frac{3}{2}} : x^{15}

= 2^{\frac{3}{2}} x^{15}

2^{\frac{3}{2}} = 2 \cdot 2^{\frac{1}{2}}

= 2 \cdot 2^{\frac{1}{2}} x^{15}

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Frequently Asked Questions (FAQ)

What is (2x^{10})^{3/2} ?
The solution to (2x^{10})^{3/2} is 2*2^{1/2}x^{15}