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Popular >

simplify ((3np^3)/(7q^2))^2

Solution

simplify

(\frac{3 n p ^{3}}{7 q ^{2}})^{2}

Solution

\frac{9 n ^{2} p ^{6}}{49 q ^{4}}

Solution steps

(\frac{3 n p ^{3}}{7 q ^{2}})^{2}

Apply exponent rule:

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

= \frac{( 3 n p ^{3} ) ^{2}}{( 7 q ^{2} ) ^{2}}

Simplify

(3 n p^{3})^{2} : 9 n^{2} p^{6}

= \frac{9 n ^{2} p ^{6}}{( 7 q ^{2} ) ^{2}}

Simplify

(7 q^{2})^{2} : 49 q^{4}

= \frac{9 n ^{2} p ^{6}}{49 q ^{4}}

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Frequently Asked Questions (FAQ)

What is ((3np^3)/(7q^2))^2 ?
The solution to ((3np^3)/(7q^2))^2 is (9n^2p^6)/(49q^4)