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Popular >

simplify (16y^6)^{1/2}

Solution

simplify

(16 y^{6})^{\frac{1}{2}}

Solution

4 y^{3}

Solution steps

(16 y^{6})^{\frac{1}{2}}

Apply exponent rule:

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

(16 y^{6})^{\frac{1}{2}} = 1 6^{\frac{1}{2}} (y^{6})^{\frac{1}{2}}

= 1 6^{\frac{1}{2}} (y^{6})^{\frac{1}{2}}

1 6^{\frac{1}{2}} = 4

= 4 (y^{6})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

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

= 4 y^{6 \cdot \frac{1}{2}}

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

= 4 y^{3}

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Frequently Asked Questions (FAQ)

What is (16y^6)^{1/2} ?
The solution to (16y^6)^{1/2} is 4y^3