Find the product (n^3)^2 x (n^5)^4

asked Dec 20, 2020 162k views

4 votes

by Seddy

8.7k points

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5 votes

Answer:

$\large\boxed{(n^3)^2*(n^5)^4=n^(26)}$

Explanation:

$(n^3)^2*(n^5)^4\qquad\text{use}\ (a^n)^m=a^(nm)\\\\=(n^(3\cdot2))*(n^(5\cdot4))=n^(6)* n^(20)\qquad\text{use}\ a^n* a^m=a^(n+m)\\\\=n^(6+20)=n^(26)$

Ben Strombeck answered Dec 24, 2020

8.5k points

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