Laws of Exponents

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: 9^9 / 9^4

Back

9^5

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

Evaluate: (6x^2)(-3x^5)

Back

-18x^7

Front

How do you express 5 multiplied by itself 7 times using exponents?

Back

5^7

Front

What does (2ab)^3 equal?

Back

2^3 * a^3 * b^3.

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: 2^3 * 2^2

Back

2^5.

Front

What is the Negative Exponent Rule?

Back

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

Front

Evaluate: 9^0

Back

1.