Laws of Exponents - Power Rule

Front

What is the Power Rule in exponents?

Back

The Power Rule states that when raising a power to another power, you multiply the exponents.

Front

Simplify: (3x^3y^5)^4

Back

81x^12y^20

Front

What happens to the exponents when raising a power to a power?

Back

You multiply the exponents.

Front

Simplify: (x^5)^4

Back

x^20

Front

Simplify: (3y^4)^2

Back

9y^8

Front

Simplify: (b^3)^8

Back

b^24

Front

What is the result of (a^m)^n?

Back

a^(m*n) (You multiply m and n).

Front

If a^2 = 16, what is a?

Back

a = 4 or a = -4 (Taking the square root).

Front

What is the value of (2^3)^2?

Back

2^6 = 64.

Front

If (x^2)^3 = x^6, what is the exponent rule used?

Back

The Power Rule (multiply the exponents).