Multiplying and Dividing Monomials Quiz Review

Find the product

100

(4⁷)(4⁶)

4¹³

200

(f³)(f⁹)

f¹²

300

(-cr⁷)(-r⁵)

cr¹²

400

9h(3h¹¹)

27h¹²

500

the product of ten squared and ten to the seventh power

10⁹

Find the quotient

100

10⁶/10⁵

10

200

g¹³/g⁹

g⁴

300

(-5)⁹/(-5)

(-5)⁸

400

(-z)¹⁵/(-z)¹¹

(-z)⁴

500

the quotient of two to the sixth power and two squared

2⁴

Multiplying and Dividing Monomials 1

100

Simplify using Laws of Exponents: c · c⁵

c⁶

200

Simplify using Laws of Exponents: b¹² / b⁸

b⁴

300

Simplify using Laws of Exponents: d²² · d¹²

d³⁴

400

Simplify using Laws of Exponents: x²⁵ / x¹³

x¹²

500

Simplify using Laws of Exponents: a³⁰ / a²⁰

a¹⁰

Multiplying and Dividing Monomials 2

100

Simplify using Laws of Exponents:(-2w⁴)(5w)

-10w⁵

200

Simplify using Laws of Exponents: 4x⁹ / 2x⁵

2x⁴

300

Simplify using Laws of Exponents: (6b¹²)(3b²)

18b¹⁴

400

Simplify using Laws of Exponents: -8r¹⁰ / 2r⁵

-4r⁵

500

Simplify using Laws of Exponents: (-9s)(2s³)

-18s⁴

Misc.

100

What do we do to the exponents when we have the same bases being multiplied?

Add them

200

What do we do to the exponents when we have the same bases being divided?

Subtract them

300

What do we do to the exponents when we have DIFFERENT bases being multiplied?

Multiply the numbers, and then use exponent rules (add them)

400

What do we do to the exponents when we have DIFFERENT bases being divided?

Divide the numbers, then use exponent rules (subtract them)

500

Challenge problem: Charmaine and Aaron are having a debate. Charmaine thinks the answer to their math homework is 7⁰, but Aaron says the answer is 1. Explain how both Charmaine and Aaron can be correct.

Because anything raised to the zero exponent is equal to one, their answers are equal.