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Popular >

simplify (81m^6)^{1/2}

Solution

simplify

(81 m^{6})^{\frac{1}{2}}

Solution

9 m^{3}

Solution steps

(81 m^{6})^{\frac{1}{2}}

Apply exponent rule:

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

(81 m^{6})^{\frac{1}{2}} = 8 1^{\frac{1}{2}} (m^{6})^{\frac{1}{2}}

= 8 1^{\frac{1}{2}} (m^{6})^{\frac{1}{2}}

8 1^{\frac{1}{2}} = 9

= 9 (m^{6})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

(m^{6})^{\frac{1}{2}} = m^{6 \cdot \frac{1}{2}}

= 9 m^{6 \cdot \frac{1}{2}}

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

= 9 m^{3}

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Frequently Asked Questions (FAQ)

What is (81m^6)^{1/2} ?
The solution to (81m^6)^{1/2} is 9m^3