Laws of Exponents

Front

What is the Quotient Rule for exponents?

Back

When dividing two expressions with the same base, subtract the exponent of the denominator from the exponent of the numerator.

Front

Evaluate: x^13 / x^8

Back

x^5

Front

What happens to exponents when we multiply the same base?

Back

We add the exponents.

Front

Simplify: b^2 ⋅ b^4

Back

b^6

Front

Evaluate: 9^9 / 9^4

Back

9^5

Front

What is the Product Rule for exponents?

Back

When multiplying two expressions with the same base, add the exponents.

Front

Simplify: x^3y / xy^5

Back

x^2 / y^4

Front

What is the Zero Exponent Rule?

Back

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

Front

Evaluate: 5^0

Back

1

Front

What is the Negative Exponent Rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent.