Power of a Power Rule

Front

What happens to the exponents when we raise a power to a power?

Back

We multiply the exponents.

Front

How do you represent 8 raised to the power of 6?

Back

8 x 8 x 8 x 8 x 8 x 8.

Front

Simplify (b^3)^8.

Back

b^24.

Front

Simplify (x^5)^4.

Back

x^20.

Front

Simplify (4^5)^4.

Back

4^20.

Front

What is the Power of a Power Rule?

Back

When raising a power to another power, multiply the exponents.

Front

If a^m = 2^3, what is a^(2m)?

Back

a^(2m) = 2^6.

Front

What is the result of (x^2)^3?

Back

x^(2*3) = x^6.

Front

If (3^4)^2 is simplified, what do you get?

Back

3^(4*2) = 3^8.

Front

What is the simplified form of (y^7)^3?

Back

y^(7*3) = y^21.