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Popular >

simplify ((2x^3)/(yz))^3

Solution

simplify

(\frac{2 x ^{3}}{yz})^{3}

Solution

\frac{8 x ^{9}}{y ^{3} z ^{3}}

Solution steps

(\frac{2 x ^{3}}{yz})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 2 x ^{3} ) ^{3}}{( yz ) ^{3}}

Simplify

(2 x^{3})^{3} : 8 x^{9}

= \frac{8 x ^{9}}{( yz ) ^{3}}

Apply exponent rule:

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

(yz)^{3} = y^{3} z^{3}

= \frac{8 x ^{9}}{y ^{3} z ^{3}}

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\frac{( n + 4 ) !}{n !}

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\frac{9}{4} + 1

Frequently Asked Questions (FAQ)

What is ((2x^3)/(yz))^3 ?
The solution to ((2x^3)/(yz))^3 is (8x^9)/(y^3z^3)