Quotient Property of Exponents

Front

What is the Quotient Property of Exponents?

Back

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

Front

Simplify: x^5 / x^2

Back

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

Front

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

Back

We subtract the exponents.

Front

Simplify: 3^4 / 3^2

Back

3^(4-2) = 3^2 = 9.

Front

If a^m / a^n = a^k, what is k in terms of m and n?

Back

k = m - n.

Front

Simplify: 10^3 / 10^1

Back

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

Front

What is the result of dividing a number by itself?

Back

Any non-zero number a: a^n / a^n = 1.

Front

Simplify: 5^6 / 5^3

Back

5^(6-3) = 5^3 = 125.

Front

What is the value of x^0?

Back

x^0 = 1 for any non-zero x.

Front

Simplify: (y^7) / (y^4)

Back

y^(7-4) = y^3.