More Exponents

​Same Base Exponents

​What do we do?

Keep the base the same and add the exponents ​

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Now try some examples on the next slides ​

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Multiple Choice

Simplify the expression:
(a⁵)(a⁴)

• a²⁰

• a⁹

• a¹

Multiple Choice

$$x^3\ \cdot\ x^4$$

• $$x^{12}$$  

• $$2x^7$$  

• $$x^7$$  

• $$2x^{12}$$  

Multiple Choice

• y¹⁶

• y³

• 16y

• y⁴⁸

​What if I have a power to a power?

What do I do?

​Multiply the exponents together

Multiple Choice

• a

• b

Multiple Choice

Simplify the expression in exponential form: (5⁴)³

• 5¹

• 5⁷

• 5¹²

Multiple Choice

(3y⁴)²

• 9y⁸

• 9y⁶

• 6y⁸

• 6y⁶

Multiple Choice

• a

• b

​Dividing with Exponents

What do I do? ​

Subtract exponents.

​

Ask yourself the question, how many more x's do I have on top of my fraction or the bottom, that is the same as subtracting. ​

Some text here about the topic of discussion

Multiple Choice

Evaluate the expression using the quotient rule.

• x¹³

• x⁵

• x³⁶

• x^-5

Multiple Choice

$$\frac{8^8}{8^4}$$  

• $$8^4$$  

• $$8^{12}$$  

• $$16^4$$  

Multiple Choice

Simplify

$$\frac{24k^9}{6k^4}$$  

• $$4k^5$$  

• $$6k^5$$  

• $$4k^6$$  

• $$18k^{14}$$  

Multiple Choice

$$\frac{6^4}{6^3}$$  

• $$6^7$$  

• $$6^1$$  

• $$12^1$$  

Multiple Choice

$$\frac{9^4}{9^2}$$  

• $$9^6$$  

• $$18^6$$  

• $$9^2$$  

Multiple Choice

(y⁹)^-2

• y¹⁸

• y¹¹

• 1/y¹⁸

• y⁹/2

Multiple Choice

Simplify. Your answer must contain only positive exponents.    $$\frac{10h^0}{2h^{-7}}$$  

• $$\frac{10}{2h^{-7}}$$  

• $$5h^7$$  

• $$\frac{5}{h^7}$$  

• $$\frac{-5}{h^7}$$  

Multiple Choice

Simplify. Your answer must contain only positive exponents.    $$\frac{x^{-4}}{y^{-2}}$$  

• $$\frac{y^2}{x^4}$$  

• $$x^4y^2$$  

• $$\frac{y^{-2}}{x^{-4}}$$  

• $$-\frac{y^2}{x^4}$$