Question

Simplify
(2^4)^3

Answer 1

When you raise to a power, you multiply the exponents.

Answer 2

(x^n)^m = x^[n(m)]

Answer 3

(a^m)^n=a^(mn)

Answer 4

ahh.. whats *a^m)^m=a^(mm) stand for?

Answer 5

okay so i multiply 2x2x4?

Answer 6

a stands for any number. m stands for an exponent. n stands for another exponent

Answer 7

oh okay

Answer 8

you do 2 to the power of 4(3)

Answer 9

hrm..

Answer 10

so 2 to the power of 12?

Answer 11

right!

Answer 12

thanks!

Answer 13

yw

Answer 14

Definition: (x^a)^b= x^a * b

When this works: When raising a power to another power.

Use the Power of a Power Rule in These Situations:

(x^3)^5
(x^2y^15z^12)^4
1. Example: Power of a Power with Constants
Simplify (3^4)^2

Keep the base and multiply the exponents: (34)2= 34 * 2 =38

Why does this work?
Rewrite (3^4)^2

(3^4)^2 = 3^4 * 3^4 = 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3

How many 3's are there? 8

Answer 15

oh okay i see what your saying now. thanks for the informatioon