Properties of Exponents: Product and Power

Front

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

Back

81x^12y^20

Front

What does the Power Rule state?

Back

Keep the base the same and multiply the exponents.

Front

Simplify: (t^-6)^-5

Back

t^30

Front

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

Back

-15x^6

Front

Simplify: 2^3 * x^2 * x^4

Back

8x^6

Front

What is the Product of Powers Property?

Back

When multiplying like bases, add the exponents.

Front

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

Back

x^8

Front

What is the Power of a Power Property?

Back

When raising a power to a power, multiply the exponents.

Front

Simplify: (x^2)^3

Back

x^6

Front

What is the Zero Exponent Rule?

Back

Any non-zero base raised to the power of zero equals one.