Dividing Powers with the Same Base

Front

What is the rule for dividing powers with the same base?

Back

When dividing powers with the same base, subtract the exponents: a^m ÷ a^n = a^(m-n).

Front

Simplify: y^-8 ÷ y^13

Back

1/y^21

Front

Simplify: n^4 ÷ n^7

Back

1/n^3

Front

Simplify: (2^8 z^10) ÷ (2^6 z^3)

Back

4z^7

Front

Simplify: c^6 ÷ c^16

Back

1/c^10

Front

Simplify: 3^4 ÷ 3^8

Back

1/3^4

Front

What happens when you divide a power by itself?

Back

Any non-zero number raised to a power divided by itself equals 1: a^n ÷ a^n = 1.

Front

What is the result of dividing a power with a negative exponent?

Back

a^-n = 1/a^n, so a^m ÷ a^n = a^(m-n) can result in a negative exponent.

Front

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

Back

k = m - n.

Front

What is the simplified form of x^5 ÷ x^2?

Back

x^3.