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 (x^5)^6

Back

x^30

Front

Simplify (r^4)^6

Back

r^24

Front

Simplify (3y^4)^2

Back

9y^8

Front

Simplify (x^14)^3

Back

x^42

Front

What is the result of (a^m)^n when a = 2, m = 3, and n = 4?

Back

(2^3)^4 = 2^(3*4) = 2^12 = 4096.

Front

If (x^2)^5 = x^10, what is the Power Property being applied?

Back

The Power Property of Exponents, which states that (a^m)^n = a^(m*n).

Front

What happens when you raise a product to a power?

Back

When raising a product to a power, you raise each factor to that power. For example, (ab)^n = a^n * b^n.

Front

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

Back

4x^6y^4