Exponent Rules

Front

What is the Product Rule of Exponents?

Back

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

Front

Simplify: 4^3 ⋅ 4^5

Back

4^8

Front

What is the Quotient Rule of Exponents?

Back

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

Front

Evaluate using the Quotient Rule: a^8 / a^6

Back

a^2

Front

Simplify: 5x^3 ⋅ 2x^2

Back

10x^5

Front

What is the Power of a Product Rule?

Back

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

Front

Simplify: (3x^2)^3

Back

27x^6

Front

What is the Power of a Power Rule?

Back

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

Front

Simplify: (5ab^2)^2

Back

25a^2b^4

Front

What is the Zero Exponent Rule?

Back

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