Laws of Exponents

Laws of Exponents

September 15, 2020
Please make sure you complete the graded entrance pass before class begins

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

•   $x^{-63}y^2$  

•  $x^2y^2$  

•  $y^2$  

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

 $-\frac{1}{64}$  

•  $\left(-4\right)^{-3}$  

•  $-\left(4\right)^{-3}$  

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

•  $\frac{1}{\left(-4\right)^{-3}}$  

Open Ended

What does this expression simplify to?? 

 $\frac{2x^9}{2\left(x^3\right)^3}$  

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

Open Ended

What is the value of the expression?

 $2^2-2^{-2}$  

Open Ended

Simplify the expression...Use the ^ symbol to show an exponent in your answer.

 $6x^0y^8-\left(2y^2\right)^4$  

Multiple Choice

Simplify the expression 

 $\left(\frac{3m^2n^7}{m}\right)^5$  

•  $81m^5n^{35}$  

•  $243n^{35}m^5$  

•  $243mn^{35}$  

•  $15m^7n^{12}$  

Open Ended

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

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 Mr. Katz, 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  $4^{-6}=\frac{1}{4^6}$