Power of a Power Property

Front

What is the Power of a Power Property in exponents?

Back

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

Front

Simplify: (2x^3y)^6

Back

64x^18y^6

Front

Simplify: (4x^5)^2

Back

16x^10

Front

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

Back

81x^12y^20

Front

Simplify: (x^5)^4

Back

x^20

Front

Simplify: (r^4)^6

Back

r^24

Front

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

Back

a^(m+n), which is the Product of Powers Property.

Front

What happens when you raise a product to a power?

Back

(ab)^n = a^n * b^n, which is the Power of a Product Property.

Front

What is the result of (x^0)?

Back

1, for any x ≠ 0, according to the Zero Exponent Rule.

Front

What is the result of (x^1)?

Back

x, according to the Identity Property of Exponents.