What is ((a^2)/b)^5((a^3b^2)/(c^3))^3 ?

The solution to ((a^2)/b)^5((a^3b^2)/(c^3))^3 is (a^{19}b)/(c^9)

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simplify ((a^2)/b)^5((a^3b^2)/(c^3))^3

simplify

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

\frac{a ^{19} b}{c ^{9}}

Solution steps

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

Simplify

(\frac{a ^{2}}{b})^{5} : \frac{a ^{10}}{b ^{5}}

= \frac{a ^{10}}{b ^{5}} (\frac{a ^{3} b ^{2}}{c ^{3}})^{3}

Simplify

(\frac{a ^{3} b ^{2}}{c ^{3}})^{3} : \frac{a ^{9} b ^{6}}{c ^{9}}

= \frac{a ^{10}}{b ^{5}} \cdot \frac{a ^{9} b ^{6}}{c ^{9}}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{a ^{10} a ^{9} b ^{6}}{b ^{5} c ^{9}}

Simplify

\frac{b ^{6}}{b ^{5}} : b

= \frac{a ^{10} a ^{9} b}{c ^{9}}

Simplify

a^{10} a^{9} : a^{19}

= \frac{a ^{19} b}{c ^{9}}

\frac{1}{1 + \frac{1}{1 + \frac{1}{3}}}

\frac{3 + 5 x}{5} = \frac{4 - x}{7}

(\frac{256}{81})^{\frac{1}{4}}

\frac{1}{2} + 2 \cdot \frac{2}{3}

\frac{x ^{5}}{x ^{6}}

What is ((a^2)/b)^5((a^3b^2)/(c^3))^3 ?
The solution to ((a^2)/b)^5((a^3b^2)/(c^3))^3 is (a^{19}b)/(c^9)