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Popular >

simplify ((6y^3)^4)/(2y^7)

Solution

simplify

\frac{( 6 y ^{3} ) ^{4}}{2 y ^{7}}

Solution

648 y^{5}

Solution steps

\frac{( 6 y ^{3} ) ^{4}}{2 y ^{7}}

Simplify

(6 y^{3})^{4} : 6^{4} y^{12}

= \frac{6 ^{4} y ^{12}}{2 y ^{7}}

Factor

6^{4} : 2^{4} \cdot 3^{4}

= \frac{2 ^{4} \cdot 3 ^{4} y ^{12}}{2 y ^{7}}

\frac{2 ^{4}}{2} = 2^{3}

= \frac{2 ^{3} \cdot 3 ^{4} y ^{12}}{y ^{7}}

Simplify

\frac{y ^{12}}{y ^{7}} : y^{5}

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

Simplify

2^{3} \cdot 3^{4} y^{5} : 648 y^{5}

= 648 y^{5}

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Frequently Asked Questions (FAQ)

What is ((6y^3)^4)/(2y^7) ?
The solution to ((6y^3)^4)/(2y^7) is 648y^5