Exponent Rules

Front

Define 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

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

Back

x^7

Front

Define the Power of a Power Rule.

Back

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

Front

Simplify: (m^9)^2

Back

m^18

Front

Define the Power of a Product Rule.

Back

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

Front

Simplify: (-5p)^2

Back

25p^2

Front

Define the Quotient of Powers Rule.

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

Simplify: 6m^7 / (4m^3)^2

Back

3m/8

Front

Define the Zero Exponent Rule.

Back

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

Front

Simplify: (3k^5)(-2k^3)

Back

-6k^8