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Popular >

simplify ((6y)^5)/((3y)^4)

Solution

simplify

\frac{( 6 y ) ^{5}}{( 3 y ) ^{4}}

Solution

96 y

Solution steps

\frac{( 6 y ) ^{5}}{( 3 y ) ^{4}}

Apply exponent rule:

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

(6 y)^{5} = 6^{5} y^{5}

= \frac{6 ^{5} y ^{5}}{( 3 y ) ^{4}}

Apply exponent rule:

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

(3 y)^{4} = 3^{4} y^{4}

= \frac{6 ^{5} y ^{5}}{3 ^{4} y ^{4}}

Factor

6^{5} : 3^{5} \cdot 2^{5}

= \frac{3 ^{5} \cdot 2 ^{5} y ^{5}}{3 ^{4} y ^{4}}

\frac{3 ^{5}}{3 ^{4}} = 3

= \frac{3 \cdot 2 ^{5} y ^{5}}{y ^{4}}

Simplify

\frac{y ^{5}}{y ^{4}} : y

= 3 \cdot 2^{5} y

Simplify

3 \cdot 2^{5} y : 96 y

= 96 y

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Frequently Asked Questions (FAQ)

What is ((6y)^5)/((3y)^4) ?
The solution to ((6y)^5)/((3y)^4) is 96y