Properties of Exponents Review

Properties of Exponents Review

Multiple Choice

According to exponent rules, when we multiply two power with the same base we _______ the exponents.

Example: c⁶ ⋅ c⁴

• add

• subtract

• multiply

• divide

Multiple Choice

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

• add

• subtract

• multiply

• divide

Multiple Choice

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

Multiple Choice

According to exponent rules, when we divide two powers with the same base we _______ the exponents. Example: $$\frac{h^8}{\ h^3}$$

• add

• subtract

• multiply

• divide

Multiple Choice

Simplify

$$\left(cd\right)^{11}$$  

• $$cd$$  

• $$c^{11}d^{11}$$  

• $$cd^{11}$$  

• $$c^1d^1$$  

Multiple Choice

Simplify

$$\frac{y^7}{y^2}$$  

• $$y^5$$  

• $$y^9$$  

• $$y^{14}$$  

• $$y$$  

Multiple Choice

Simplify

$$\left(\frac{m}{n}\right)^4$$  

• $$\frac{m^4}{n^4}$$  

• $$\frac{4m}{n}$$  

• $$\frac{m^4}{n}$$  

• $$\frac{m^4}{n^{-4}}$$  

Multiple Choice

x³⋅x² =

• x⁵

• x⁶

• x⁹

• x¹

Math Response

Write an expression equivalent to $$\left(x^2y^3y^2\right)^3$$ in the form $$x^my^n$$ .

Type answer here

Correct Answer: x^6y^{15}

Deg^°

Rad

Multiple Choice

Select all that are TRUE.

• $$49^x=7^{2x}$$

• $$100^x=25^{4x}$$

• $$25^{2x}=625x$$

Multiple Choice

Select all that are TRUE.

• $$45^x=5^{3x}$$

• $$12^{2x}=144x$$

• $$5^{3x}=125^x$$

Fill in the Blank

Fill in the blank

2^_x = 16^x

Hotspot

Find the zeros of the graph.

Hotspot

Find the zeros of the graph.

Fill in the Blank

Find $$c$$ such that the problem doesn't have a remainder.

$$\frac{\left(x+5\right)\left(x-c\right)}{\left(x-2\right)}$$

Fill in the Blank

Find $$c$$ such that the problem doesn't have a remainder.

$$\frac{\left(x-9\right)\left(x+c\right)}{\left(x-8\right)}$$