Question

Find the product.
(n^3)^2 · (n^5)^4

is it n^14?

Answer 1

No..

Answer 2

Now try.

Answer 3

\(\large n^6.n^{20} = n^{26}\)

Answer 4

try to understand the methods of doing this type of problem.

Order of Operations. Parenthesis exponents multiplication division addition subtraction
n^3)^2 · (n^5)^4

(n^3)^2 means write (n^3) TWICE
(n^3)(n^3) = N^[3+3] which is n^6
(n^5)^4 means write (n^5) FOUR times
(n^5)(n^5)(n^5)(n^5) = n^5+5+5+5 = n^20
add them together
WHOOOPS forgot that + and - doesn't exist when doing exponents so it's like this
(n^6)(n^20) = n^ 6+20 = n^26