Exponent Operations Review

Exponent Basics

A trip down memory lane

Multiple Select

5³ is equivalent to...

• 53

• 15

• $$5\cdot5\cdot5$$

• 125

Multiple Choice

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

• $$\left(xy\right)^{11}$$  

• $$x^6y^5$$  

• $$x^8y^6$$  

• $$x^{24}y^{32}$$  

When do I multiply exponents?!

• When raising a power to another power

• You notice this when you have an expression with exponents inside of a parenthesis, and an exponent outside the parenthesis that applies to THE WHOLE EXPRESSION

Applying an exponent to the whole parenthesis

• Each base inside takes on the exponent

• If there are exponents on the bases inside, they get multiplied by the outer exponent

Multiple Choice

Ok, you try:

$$\left(2x^3y^4z^5\right)^3=$$  

• $$6x^6y^7z^8$$  

• $$8x^6y^7z^8$$  

• $$8x^9y^{12}z^{15}$$  

• $$8x^{27}y^{64}z^{125}$$  

Multiple Choice

Simplify:

$$\frac{b^{-2}}{b^4}=$$  

• $$b\ ^6$$  

• $$b^{-8}$$  

• $$\frac{1}{b^6}$$  

• $$\frac{1}{b^{-6}}$$  

A Long Story Made Short

Write down the simple table at right. This will help tomorrow!