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Popular >

simplify (144x^{12})^{1/2}

Solution

simplify

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

Solution

12 x^{6}

Solution steps

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

Apply exponent rule:

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

(144 x^{12})^{\frac{1}{2}} = 14 4^{\frac{1}{2}} (x^{12})^{\frac{1}{2}}

= 14 4^{\frac{1}{2}} (x^{12})^{\frac{1}{2}}

14 4^{\frac{1}{2}} = 12

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

Apply exponent rule:

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

assuming

a \geq 0

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

= 12 x^{12 \cdot \frac{1}{2}}

12 \cdot \frac{1}{2} = 6

= 12 x^{6}

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Frequently Asked Questions (FAQ)

What is (144x^{12})^{1/2} ?
The solution to (144x^{12})^{1/2} is 12x^6