What is (5a^m(5b^m)^2)/(((a^2)^m)^2) ?

The solution to (5a^m(5b^m)^2)/(((a^2)^m)^2) is (125b^{2m})/(a^{3m)}

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simplify (5a^m(5b^m)^2)/(((a^2)^m)^2)

simplify

\frac{5 a ^{m} ( 5 b ^{m} ) ^{2}}{( ( a ^{2} ) ^{m} ) ^{2}}

\frac{125 b ^{2 m}}{a ^{3 m}}

Solution steps

\frac{5 a ^{m} ( 5 b ^{m} ) ^{2}}{( ( a ^{2} ) ^{m} ) ^{2}}

Simplify

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

= \frac{5 a ^{m} ( 5 b ^{m} ) ^{2}}{a ^{4 m}}

Simplify

\frac{a ^{m}}{a ^{4 m}} : \frac{1}{a ^{3 m}}

= \frac{5 ( 5 b ^{m} ) ^{2}}{a ^{3 m}}

Simplify

5 (5 b^{m})^{2} : 125 b^{2 m}

= \frac{125 b ^{2 m}}{a ^{3 m}}

(- 2 x^{a - 2}) (7 x^{5} - 8 x^{2} + 6 x^{3} - 9 x + 2)

(4 y - 3) 2

(\frac{2 x ^{5} y ^{5}}{4 x ^{2}})^{3}

m^{3} + 8

2 x^{2} + x^{3}

What is (5a^m(5b^m)^2)/(((a^2)^m)^2) ?
The solution to (5a^m(5b^m)^2)/(((a^2)^m)^2) is (125b^{2m})/(a^{3m)}