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Popular >

simplify (64y^{100})^{1/2}

Solution

simplify

(64 y^{100})^{\frac{1}{2}}

Solution

8 y^{50}

Solution steps

(64 y^{100})^{\frac{1}{2}}

Apply exponent rule:

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

(64 y^{100})^{\frac{1}{2}} = 6 4^{\frac{1}{2}} (y^{100})^{\frac{1}{2}}

= 6 4^{\frac{1}{2}} (y^{100})^{\frac{1}{2}}

6 4^{\frac{1}{2}} = 8

= 8 (y^{100})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

(y^{100})^{\frac{1}{2}} = y^{100 \cdot \frac{1}{2}}

= 8 y^{100 \cdot \frac{1}{2}}

100 \cdot \frac{1}{2} = 50

= 8 y^{50}

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Frequently Asked Questions (FAQ)

What is (64y^{100})^{1/2} ?
The solution to (64y^{100})^{1/2} is 8y^{50}