Laws of Exponents

Laws of Exponents

You'll review:

• Zero Power Property

• Product of Powers Property

• Quotient of Powers Property

• Power to a Power Property

• Negative Exponents Property

Multiple Choice

Simplify

$$\left(\frac{2^0}{3^2}\right)^{ }$$  

• $$\frac{1}{9}$$  

• 1

• 49

• $$\frac{6}{1}$$  

Multiple Choice

Simplify

$$\left(x^9\times x^{-7}\right)^0\times y^2$$  

• 1

•   $$\frac{1}{y^2}$$  

• $$x^2y^2$$  

• $$y^2$$  

Multiple Choice

Simplify

$$\frac{15x^{12}}{5x^7}\times\left(-3^0\right)\times x^2$$  

• $$-3x^{17}$$  

• $$-3x^5$$  

• $$3x^7$$  

• $$-1$$  

Multiple Choice

Simplify

$$\left(3xy^2\right)^2\left(x^2y\right)^4\$$  

• $$\left|x^3\right|$$  

• $$3x^{10}y^8$$  

• $$3x^4y^4$$  

• $$9x^{10}y^8$$  

Multiple Select

Which of the following expressions simplify to

$$-\frac{1}{64}$$  

• $$\left(-4\right)^{-3}$$  

• $$-\left(4\right)^{-3}$$  

• $$-\frac{1}{4^3}\times-\left(4\right)^0$$  

• $$\frac{1}{\left(-4\right)^{-3}}$$  

Math Response

What does this expression simplify to?? 

$$\frac{2x^9}{2\left(x^3\right)^3}$$  

Type answer here

Correct Answer: 1

Deg^°

Rad

Multiple Choice

$$\frac{\left(6^2\right)^{-2}}{\left(6^3\right)^{-3}}$$  

What is the value written in standard form?

• 1,296

• 279,936

• 36

• 7,776

Math Response

What is the value of the expression?

$$2^2-2^{-2}$$  

Type answer here

Correct Answer: 3.75

Deg^°

Rad

Math Response

Simplify the expression.

$$6x^0y^8-\left(2y^2\right)^4$$  

Type answer here

Correct Answer: -10y^8

Deg^°

Rad

Multiple Choice

Simplify the expression 

$$\left(\frac{3m^2n^7}{m}\right)^5$$  

• $$81m^5n^{35}$$  

• $$243n^{35}m^5$$  

• $$243mn^{35}$$  

• $$15m^7n^{12}$$  

Math Response

Any base (except 0) raised to the power of zero is what?!?

Type answer here

Correct Answer: 1

Deg^°

Rad

Multiple Choice

Simplify the following expression  $$\frac{-48c^2d^4}{-8cd}$$  

• $$6cd^3$$  

• $$-6cd^3$$  

• $$6c^3d^5$$  

• 1

Poll

How do you feel about the laws of exponents?

• Most of them confuse me still

• I just need more practice

• Only 1 or 2 laws are giving me trouble

• I fully understand the laws of exponents

Multiple Select

Which laws are still confusing if any?  SELECT ALL THAT APPLY

• Yo Mrs. Hunt, I got this!

• Product Rule $$4^3\times4^2=4^{3+2}$$  

• Power Rule $$\left(4^2\right)^3=4^{2\times3}$$  

• Quotient Rule  $$\frac{4^5}{4^3}=4^{5-3}$$  

• Negative Rule  $$4^{-6}=\frac{1}{4^6}$$