Laws of Exponents

Laws of Exponents

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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