1.5 Multiply and Divide Monomials MW

​1.5 Multiply and Divide Monomials

​Learning Intent:  Today, I am learning to multiply and divide monomials

Success Criteria:  I can simplify a monomial expression with exponents.

​Review on the next few slides.

Math Response

Simplify: $$(3\cdot4^2\cdot8^5)^2$$

Type answer here

Correct Answer: 3^2\times4^4\times8^{10}

Deg^°

Rad

Math Response

Use the Laws of Exponents to generate an equivalent numerical expression.

$$\left(\frac{-3}{5}\right)^5$$

Type answer here

Correct Answer: \frac{\left(-3\right)^5}{5^5}

Deg^°

Rad

Math Response

Use the Laws of Exponents to generate an equivalent numerical expression.

$$12^{-10}\cdot12^4$$

Type answer here

Correct Answer: \frac{1}{12^6}

Deg^°

Rad

​A

​B

​Vocabulary

Multiple Choice

How do you solve:
(2x⁵)(6x⁴)

• MULTIPLY coefficients
  MULTIPLY exponents

• DIVIDE coefficients
  SUBTRACT exponents

• Combine like terms

• MULTIPLY coefficients
  ADD exponents

Multiple Choice

Simplify (-4r⁵)(2r⁸)

• -8r¹³

• -2r¹³

• -8r⁴⁰

• -2y⁴⁰

Multiple Choice

Simplify the expression.

• 8ac

• -24abc

• -8ac

• -8abc

• 8a⁹b⁶c³

Multiple Choice

(9n⁴)(6n⁷)

• 54n¹¹

• 15n¹¹

• 15n²⁸

• 54n²⁸

Multiple Choice

Simplify:

$$(-4)^3\cdot(-4)^5$$

• -4⁸

• (-4)⁸

• 16⁸

• (-4)²

Multiple Choice

Simplify

• -6c

• 6c⁵

• 15c⁵

• 15c

Multiple Choice

Simplify the following expression:

• 18x²⁵

• 9x¹⁰

• 1

• 18x¹⁰

Multiple Choice

Simplify $$3v^2\cdot5v^{-3}$$  

• $$\frac{15}{v}$$  

• $$20v$$  

• $$20v^5$$  

• $$15v^5$$  

Math Response

Evaluate $$5x^4\cdot4x^5$$  

Type answer here

Correct Answer: 20x^9

Deg^°

Rad

Multiple Choice

Simplify $$\frac{5r^6}{4r^3}$$  

• $$\frac{3}{r^2}$$  

• $$\frac{3r}{2}$$  

• $$\frac{5r^4}{4}$$  

• $$\frac{5r^3}{4}$$  

Multiple Choice

Simplify $$\frac{6x^{-5}}{5x^6}$$  

• $$\frac{3}{2x^4}$$  

• $$\frac{6}{5x^{11}}$$  

• $$\frac{1}{2x^3}$$  

• $$\frac{6x^2}{5}$$  

Multiple Choice

Simplify $$\frac{6n^2}{6n^{-2}}$$  

• $$n^4$$  

• $$\frac{1}{3n^{10}}$$  

• $$\frac{4}{3n^4}$$  

• $$4n^3$$  

Multiple Choice

(5³x²y⁴)⁰

• 5xy

• 1

• 0

• 5

Math Response

What is 10⁰ equivalent to?

Type answer here

Correct Answer: 1

Deg^°

Rad

Multiple Choice

Simplify the following:
(x³)⁶

• x⁹

• x¹⁸

• x⁶

• x³

Multiple Choice

Simplify the following:
x²x³

• x³

• x²

• x⁶

• X⁵

Multiple Choice

Simplify: 
(9n⁴)(6n⁷)

• 54n¹¹

• 15n¹¹

• 15n²⁸

• 54n²⁸

Multiple Choice

Simplify: 
(2⁸)²

• 2¹⁶

• 2¹⁰

• 2⁶

• 2⁴

Multiple Choice

Simplify: 

$$\frac{6x^5y^2}{2x^4y^2}$$

• 3xy

• 4x

• 3x

• 4xy