Mathematics: Simplify this equation (16a^8/c^12)^1/4

Simplify this equation (16a^8/c^12)^1/4 - id16812145035207, cajunldy2001

Ответ:

hannahliebl2000

17.09.2020

$\large\boxed{\left(\dfrac{16a^8}{c^{12}}\right)^\frac{1}{4}=\dfrac{2a^2}{c^3}}$

Step-by-step explanation:

$\left(\dfrac{16a^8}{c^{12}}\right)^\frac{1}{4}\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (a^n)^m=a^{nm}\ \text{and}\ (ab)^n=a^nb^n\\\\=\dfrac{(2^4a^8)^\frac{1}{4}}{(c^{12})^\frac{1}{4}}=\dfrac{(2^4)^\frac{1}{4}(a^8)^\frac{1}{4}}{c^{12\cdot\frac{1}{4}}}=\dfrac{2^{4\cdot\frac{1}{4}}\cdot a^{8\cdot\frac{1}{4}}}{c^3}=\dfrac{2^1\cdot a^2}{c^3}=\dfrac{2a^2}{c^3}$

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Ответ:

Hayes0515

29.09.2020

Mathematics

0.083

Step-by-step explanation:

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Simplify this equation
(16a^8/c^12)^1/4

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