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Popular >

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

Solution

simplify

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

Solution

\frac{9 x ^{4}}{4 y ^{2}}

Solution steps

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

Apply exponent rule:

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

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

Simplify

(3 x^{2})^{2} : 9 x^{4}

= \frac{9 x ^{4}}{( 2 y ) ^{2}}

Simplify

(2 y)^{2} : 4 y^{2}

= \frac{9 x ^{4}}{4 y ^{2}}

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Frequently Asked Questions (FAQ)

What is (((3x^2))/((2y)))^2 ?
The solution to (((3x^2))/((2y)))^2 is (9x^4)/(4y^2)