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Popular >

simplify (1/2 c^3d)^5

Solution

simplify

(\frac{1}{2} c^{3} d)^{5}

Solution

\frac{c ^{15} d ^{5}}{32}

Solution steps

(\frac{1}{2} c^{3} d)^{5}

Apply exponent rule:

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

(\frac{1}{2} c^{3} d)^{5} = (\frac{1}{2})^{5} (c^{3})^{5} d^{5}

= (\frac{1}{2})^{5} (c^{3})^{5} d^{5}

(\frac{1}{2})^{5} = \frac{1}{32}

= \frac{1}{32} (c^{3})^{5} d^{5}

Simplify

(c^{3})^{5} : c^{15}

= \frac{1}{32} c^{15} d^{5}

Simplify

\frac{1}{32} c^{15} d^{5} : \frac{c ^{15} d ^{5}}{32}

= \frac{c ^{15} d ^{5}}{32}

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Frequently Asked Questions (FAQ)

What is (1/2 c^3d)^5 ?
The solution to (1/2 c^3d)^5 is (c^{15}d^5)/(32)