Laws of Exponents

Front

What is the Quotient Rule of Exponents?

Back

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

Front

Evaluate: 9^9 ÷ 9^4

Back

9^5

Front

What is the Product Rule of Exponents?

Back

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

Front

Evaluate: 2^2 × 2^4

Back

2^6.

Front

What is the Zero Exponent Rule?

Back

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

Front

Evaluate: 5^0

Back

1.

Front

What is the Negative Exponent Rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/(a^n).

Front

Evaluate: 3^(-2)

Back

1/3^2.

Front

What is Standard Form in Exponents?

Back

An expression is in standard form when it is expressed as a single power of a base.

Front

Put in standard form: 2^2 × 2^4

Back

2^6.