Exponents - Quotient Rule Exit - Ticket

Front

What is the Quotient Rule for exponents?

Back

The Quotient Rule states that when dividing two exponential expressions with the same base, you subtract the exponents: a^m / a^n = a^(m-n).

Front

Simplify the expression: x^5 / x^2

Back

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

Front

What happens when you divide two powers with the same base?

Back

You subtract the exponents.

Front

Simplify the expression: 10^3 / 10^1

Back

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

Front

If a^m = 2 and a^n = 8, what is a^(m-n)?

Back

a^(m-n) = 2 / 8 = 1/4.

Front

Simplify the expression: 5x^4 / 5x^2

Back

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

Front

What is the result of x^0?

Back

x^0 = 1, for any x ≠ 0.

Front

Simplify the expression: 12y^5 / 3y^2

Back

4y^(5-2) = 4y^3.

Front

What is the value of (a^3 / a^3)?

Back

(a^3 / a^3) = 1, for any a ≠ 0.

Front

If x^m / x^n = x^3, what is m-n?

Back

m - n = 3.