Power Property of Exponents

Front

What is the Power Property of Exponents?

Back

The Power Property of Exponents states that when raising a power to another power, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

Simplify (4xy^4)^3

Back

64x^3y^12

Front

Simplify (3y^4)^2

Back

9y^8

Front

Simplify (wm^5)^3

Back

w^3m^15

Front

Simplify (3x^2)^3

Back

27x^6

Front

Simplify (5ab^2)^2

Back

25a^2b^4

Front

What is the result of (x^a)^b?

Back

x^(a*b) - You multiply the exponents.

Front

If a = 2 and b = 3, what is (ab)^2?

Back

(2*3)^2 = 6^2 = 36.

Front

What happens when you raise a product to a power?

Back

You raise each factor in the product to that power. For example, (xy)^n = x^n * y^n.

Front

Simplify (2x^3y^2)^4

Back

16x^12y^8