What is p^{18}*((p^4)/((p^2)))^3 ?

The solution to p^{18}*((p^4)/((p^2)))^3 is p^{24}

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simplify p^{18}*((p^4)/((p^2)))^3

simplify

p^{18} \cdot (\frac{p ^{4}}{( p ^{2} )})^{3}

p^{24}

Solution steps

p^{18} (\frac{p ^{4}}{p ^{2}})^{3}

Simplify

(\frac{p ^{4}}{p ^{2}})^{3} : p^{6}

= p^{18} p^{6}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

p^{18} p^{6} = p^{18 + 6}

= p^{18 + 6}

Add the numbers:

18 + 6 = 24

= p^{24}

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What is p^{18}*((p^4)/((p^2)))^3 ?
The solution to p^{18}*((p^4)/((p^2)))^3 is p^{24}