Quotient Property of Exponents

Front

What is the Quotient Property of Exponents?

Back

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

Front

Simplify: x^5 / x^2

Back

x^(5-2) = x^3

Front

What happens to the exponents when you divide expressions with the same base?

Back

You subtract the exponents.

Front

Simplify: 10^3 / 10^1

Back

10^(3-1) = 10^2 = 100

Front

If a^m / a^n = a^(m-n), what is the base?

Back

The base is 'a'.

Front

Simplify: (x^4y^3) / (x^2y^1)

Back

x^(4-2)y^(3-1) = x^2y^2

Front

What is the base in the expression 5^4 = 625?

Back

The base is 5.

Front

Simplify: 2^5 / 2^2

Back

2^(5-2) = 2^3 = 8

Front

If 3^x / 3^2 = 3^3, what is x?

Back

x = 3 + 2 = 5.

Front

Simplify: (12x^3) / (4x^2)

Back

(12/4)x^(3-2) = 3x.