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Popular >

simplify (64y^2)^{3/2}

Solution

simplify

(64 y^{2})^{\frac{3}{2}}

Solution

512 y^{3}

Solution steps

(64 y^{2})^{\frac{3}{2}}

Apply exponent rule:

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

(64 y^{2})^{\frac{3}{2}} = 6 4^{\frac{3}{2}} (y^{2})^{\frac{3}{2}}

= 6 4^{\frac{3}{2}} (y^{2})^{\frac{3}{2}}

6 4^{\frac{3}{2}} = 512

= 512 (y^{2})^{\frac{3}{2}}

Apply exponent rule:

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

assuming

a \geq 0

(y^{2})^{\frac{3}{2}} = y^{2 \cdot \frac{3}{2}}

= 512 y^{2 \cdot \frac{3}{2}}

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

= 512 y^{3}

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Frequently Asked Questions (FAQ)

What is (64y^2)^{3/2} ?
The solution to (64y^2)^{3/2} is 512y^3