Properties of Exponents

Front

Define 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

Explain the Power of a Product Property.

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

What is the Zero Exponent Rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Front

Simplify: (3x^2)^4

Back

81x^8.

Front

Simplify: x^5 * x^3

Back

x^8.

Front

Simplify: (2y^3)^2

Back

4y^6.

Front

What is the Negative Exponent Rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/(a^n) (where a ≠ 0).

Front

Simplify: 4x^(-2)

Back

4/(x^2).

Front

Simplify: (xy^2)^3

Back

x^3y^6.