Quotient Property of Exponents

Front

What is the base in the expression 2^3 = 8?

Back

The base is 2.

Front

What is the Quotient Property of Exponents?

Back

When dividing items that have the same base, keep the base and subtract the exponents.

Front

Simplify the expression 10^0.

Back

1 (Any non-zero number raised to the power of 0 is 1.)

Front

What does the exponent represent in an expression like 3^4?

Back

The exponent 4 indicates that the base 3 is multiplied by itself 4 times (3 × 3 × 3 × 3).

Front

If a^m / a^n = a^(m-n), what does this represent?

Back

This represents the Quotient Property of Exponents.

Front

Simplify the expression x^5 / x^2.

Back

x^(5-2) = x^3.

Front

What is the result of 5^3 / 5^1?

Back

5^(3-1) = 5^2 = 25.

Front

If 7^a / 7^b = 7^3, what is the value of a - b?

Back

a - b = 3.

Front

What is the value of 2^4 / 2^2?

Back

2^(4-2) = 2^2 = 4.

Front

What happens when you divide two numbers with different bases?

Back

You cannot apply the Quotient Property; you must simplify each base separately.