Multiplying and Dividing Exponents

Front

What happens to the exponents when we multiply two powers with the same base?

Back

We add the exponents.

Front

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

Back

We subtract the exponents.

Front

Simplify: x ∙ x ∙ x ∙ x ∙ x ∙ x

Back

x^6

Front

Simplify: 3^4 ⋅ 3^7

Back

3^11

Front

Evaluate using the quotient rule: 9^9 / 9^4

Back

9^5

Front

What is the product of a power raised to a power?

Back

We multiply the exponents.

Front

Simplify: (a^3)^4

Back

a^12

Front

What is the result of any non-zero number raised to the power of zero?

Back

1

Front

What is the result of a negative exponent, such as 5^-2?

Back

1/(5^2) or 1/25

Front

If a^m = a^n, what can we conclude about m and n?

Back

m must equal n.