Product Rule/Power of a Power 11.6 ReDOL

Front

What is the Product Rule in algebra?

Back

The Product Rule states that when multiplying two powers with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

What is the Power of a Power Rule?

Back

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

Front

Simplify: (2x^3y)^6

Back

64x^18y^6

Front

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

Back

81x^12y^20

Front

Simplify: (b^3)^8

Back

b^24

Front

Simplify: (4x^5y^2)(6x^2y^3)

Back

24x^7y^5

Front

Simplify: (4x^5)^2

Back

16x^10

Front

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

Back

a^(m+n) according to the Product Rule.

Front

What happens when you simplify (x^2)^3?

Back

You multiply the exponents to get x^(2*3) = x^6.

Front

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

Back

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