Simple Exponent Laws

Front

What is the Quotient Rule for exponents?

Back

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

Front

Evaluate: x^13 / x^8

Back

x^5

Front

What happens when you multiply terms with the same base?

Back

You add the exponents: a^m * a^n = a^(m+n).

Front

What is any number raised to the power of zero?

Back

1 (except for 0^0 which is undefined).

Front

Simplify: x^-3

Back

1/x^3.

Front

What is the Product Rule for exponents?

Back

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

Front

Evaluate: x^5 * x^3

Back

x^8.

Front

What is the value of 2^0?

Back

1.

Front

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

Back

m must equal n.

Front

What is the Negative Exponent Rule?

Back

a^-n = 1/a^n.