Exponent Rules

Front

What is the Product of Powers Rule?

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 Rule?

Back

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

Front

What is the Power of a Product Rule?

Back

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

Front

What is the Power of a Quotient Rule?

Back

When raising a quotient to a power, apply the exponent to both the numerator and denominator: (a/b)^n = a^n / b^n.

Front

Simplify: 5x^3 * 2x

Back

10x^4.

Front

Simplify: 5x^3 * 2x^2

Back

10x^5.

Front

Simplify: (2m^4)(5m^2)

Back

10m^6.

Front

Simplify: (3xy)^2

Back

9x^2y^2.

Front

What is the base in an exponent?

Back

The base is the number or variable that is raised to a power.

Front

If a^m = a^n, what can we conclude about m and n?

Back

m must equal n, provided a is not zero.