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

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

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simplify ((5a^m*(5b^m)^2))/(((a^{2m))^2)}

simplify

\frac{( 5 a ^{m} \cdot ( 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}}

y^{2} - 4 y + 4 - 4 x^{2}

55 x^{2} - 3 x + 2582 x^{2} - 9 x^{2} l

\frac{3 a ^{83} b ^{5}}{99}

(2 x + 1)^{3} + (x - 3)^{3}

64 z^{3} + 125

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