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Popular >

simplify (12x)^{3/2}

Solution

simplify

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

Solution

24 \cdot 3^{\frac{1}{2}} x^{\frac{3}{2}}

Solution steps

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

Apply exponent rule:

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

(12 x)^{\frac{3}{2}} = 1 2^{\frac{3}{2}} x^{\frac{3}{2}}

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

1 2^{\frac{3}{2}} = 24 \cdot 3^{\frac{1}{2}}

= 24 \cdot 3^{\frac{1}{2}} x^{\frac{3}{2}}

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Frequently Asked Questions (FAQ)

What is (12x)^{3/2} ?
The solution to (12x)^{3/2} is 24*3^{1/2}x^{3/2}