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Popular >

simplify (4c^5d^2)^{3/2}

Solution

simplify

(4 c^{5} d^{2})^{\frac{3}{2}}

Solution

8 c^{\frac{15}{2}} d^{3}

Solution steps

(4 c^{5} d^{2})^{\frac{3}{2}}

Apply exponent rule:

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

(4 c^{5} d^{2})^{\frac{3}{2}} = 4^{\frac{3}{2}} (c^{5})^{\frac{3}{2}} (d^{2})^{\frac{3}{2}}

= 4^{\frac{3}{2}} (c^{5})^{\frac{3}{2}} (d^{2})^{\frac{3}{2}}

4^{\frac{3}{2}} = 8

= 8 (c^{5})^{\frac{3}{2}} (d^{2})^{\frac{3}{2}}

Simplify

(c^{5})^{\frac{3}{2}} : c^{\frac{15}{2}}

= 8 c^{\frac{15}{2}} (d^{2})^{\frac{3}{2}}

Simplify

(d^{2})^{\frac{3}{2}} : d^{3}

= 8 c^{\frac{15}{2}} d^{3}

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Frequently Asked Questions (FAQ)

What is (4c^5d^2)^{3/2} ?
The solution to (4c^5d^2)^{3/2} is 8c^{15/2}d^3