Product Rule/Power of a Power 11.6 ReDOL

Front

What is the Product Rule in exponents?

Back

The Product Rule states that when multiplying two expressions 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: (b^3)^8

Back

b^24

Front

Simplify: (2x^3y)^6

Back

64x^18y^6

Front

Simplify: (-3x^4)(5x^2)

Back

-15x^6

Front

Simplify: (4x^5)^2

Back

16x^10

Front

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

Back

24x^7y^5

Front

What is the result of multiplying two powers with the same base?

Back

You add the exponents: a^m * a^n = a^(m+n).

Front

What happens when you raise a product to a power?

Back

You raise each factor to the power: (ab)^n = a^n * b^n.

Front

What is the result of (x^2)^3?

Back

x^6