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Popular >

simplify (12x^{1/2})^2

Solution

simplify

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

Solution

144 x

Solution steps

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

Apply exponent rule:

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

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

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

1 2^{2} = 144

= 144 (x^{\frac{1}{2}})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{\frac{1}{2}})^{2} = x^{\frac{1}{2} \cdot 2}

= 144 x^{\frac{1}{2} \cdot 2}

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

= 144 x^{1}

Apply exponent rule:

a^{1} = a

x^{1} = x

= 144 x

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(3 x - 1)^{2} = 22

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simplify (5x)^{-5/4}simplify

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Frequently Asked Questions (FAQ)

What is (12x^{1/2})^2 ?
The solution to (12x^{1/2})^2 is 144x