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

Simplify: 3(-2x^3y^4)^4

Back

48x^12y^16

Front

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

Back

We subtract the exponents.

Front

Simplify: 3^4 ⋅ 3^7

Back

3^11

Front

What error did Billy make when he solved 3^5 ∙ 3^4 as 9^20?

Back

He should have kept the base and added the exponents.

Front

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

Back

Keep the base and add the exponents.

Front

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

Back

Keep the base and subtract the exponents.

Front

Simplify: (x^2)^3

Back

x^6

Front

Simplify: (2a^3b^2)^2

Back

4a^6b^4

Front

What is the value of 5^0?

Back

1 (Any non-zero number raised to the power of 0 is 1.)