Product of Power & Power of Power

Front

What is the Product of Powers Property?

Back

When multiplying two powers with the same base, add the exponents: a^m × a^n = a^(m+n).

Front

What is the Power of a Power Property?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

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

Back

9x^8y^10

Front

Simplify: 3^3 × 4^3

Back

12^3

Front

Simplify: (3x^2)^3

Back

27x^6

Front

Simplify: (7y^4)^2

Back

49y^8

Front

Simplify: y^12 × y^10

Back

y^22

Front

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

Back

Add the exponents.

Front

What happens when you raise a product to a power?

Back

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

Front

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

Back

x^6