Question

Find the product.

(n 3)2 · (n 5)4

Answer 1

What is (n 3) 2...do you mean (n^3)^2?

Answer 2

yes

Answer 3

Then, use the law of exponents, (a^x)^y = a^(xy)

Answer 4

So what will be (n^3)^2?

Answer 5

Find the product.

(n 3)^2 · (n 5)^4

Answer 6

Find the product.

(n^ 3)^2 · (n ^5)^4

Answer 7

As I mentioned before, the law of exponents states that
(a^x)^y = a^(xy)

Example: (4^3)^5 = 4^15 (you multiply exponents)

Answer 8

(n^3)2(n^5)4

Multiply 3 by 2 to get 6.

More Detail
n^6(n^5)4

Multiply 5 by 4 to get 20.

More Detail
(n^6)⋅n^20

Multiply n^20 by each term inside the parentheses.

More Detail
n^26

Answer 9

you are right http://www.wolframalpha.com/input/?i=%28n%5E+3%29%5E2+%C2%B7+%28n+%5E5%29%5E4 :) @mathdummy23

Answer 10

@charlotte123 thank you :)

Answer 11

no problem! good job helping! :D @mathdummy23

Answer 12

\(\bf (n^3)^2\cdot (n^5)^4\implies n^{3\cdot 2}\cdot n^{5\cdot 4}\implies n^{3\cdot 2+5\cdot 4}\)