What is (-(2a^2b)/(3mn^3))^2 ?

The solution to (-(2a^2b)/(3mn^3))^2 is (4a^4b^2)/(9m^2n^6)

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simplify (-(2a^2b)/(3mn^3))^2

simplify

(- \frac{2 a ^{2} b}{3 m n ^{3}})^{2}

\frac{4 a ^{4} b ^{2}}{9 m ^{2} n ^{6}}

Solution steps

(- \frac{2 a ^{2} b}{3 m n ^{3}})^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- \frac{2 a ^{2} b}{3 m n ^{3}})^{2} = (\frac{2 a ^{2} b}{3 m n ^{3}})^{2}

= (\frac{2 a ^{2} b}{3 m n ^{3}})^{2}

Apply exponent rule:

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

= \frac{( 2 a ^{2} b ) ^{2}}{( 3 m n ^{3} ) ^{2}}

Simplify

(2 a^{2} b)^{2} : 4 a^{4} b^{2}

= \frac{4 a ^{4} b ^{2}}{( 3 m n ^{3} ) ^{2}}

Simplify

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

= \frac{4 a ^{4} b ^{2}}{9 m ^{2} n ^{6}}

\frac{2 x + 3}{3} + \frac{x - 4}{4}

\frac{20}{48}

9 x^{7}

\frac{( x ^{5} - 1 )}{( x - 1 )}

(4 x + 6)^{2}

What is (-(2a^2b)/(3mn^3))^2 ?
The solution to (-(2a^2b)/(3mn^3))^2 is (4a^4b^2)/(9m^2n^6)