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Popular >

simplify ((3y^5)^4)/(6y^7)

Solution

simplify

\frac{( 3 y ^{5} ) ^{4}}{6 y ^{7}}

Solution

\frac{27 y ^{13}}{2}

Solution steps

\frac{( 3 y ^{5} ) ^{4}}{6 y ^{7}}

Simplify

(3 y^{5})^{4} : 3^{4} y^{20}

= \frac{3 ^{4} y ^{20}}{6 y ^{7}}

Factor the number:

6 = 3 \cdot 2

= \frac{3 ^{4} y ^{20}}{3 \cdot 2 y ^{7}}

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

= \frac{3 ^{3} y ^{20}}{2 y ^{7}}

Simplify

\frac{y ^{20}}{y ^{7}} : y^{13}

= \frac{3 ^{3} y ^{13}}{2}

3^{3} = 27

= \frac{27 y ^{13}}{2}

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Frequently Asked Questions (FAQ)

What is ((3y^5)^4)/(6y^7) ?
The solution to ((3y^5)^4)/(6y^7) is (27y^{13})/2