Properties of Exponents Review #1

• -30x¹¹

• -30x¹⁸

• -x¹¹

• -x¹⁸

• y¹⁶⁰

• y¹

• 1

• y⁴

• 
• 16c³d³

• 
• 

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

Example: c⁶ ⋅ c⁴

• add

• subtract

• multiply

• divide

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

• add

• subtract

• multiply

• divide

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸ / h³

• add

• subtract

• multiply

• divide

What is the correct way to expand  $5^3\cdot5^2$  ?

•  $\left(5+5+5\right)\left(5+5\right)$  

•  $\left(5\times3\right)\left(5\times2\right)$  

•  $\left(5\times5\right)\left(3\times2\right)$  

•  $\left(5\cdot5\cdot5\right)\left(5\cdot5\right)$  

Select the expression equivalent (equal) to  $\frac{6^8}{6^3}$  .

•  $6^{11}$  

•  $6^5$  

•  $6^{24}$  

•  $6^{-5}$  

What is the value of x in the equation $\left(7^3\right)\cdot\left(7^x\right)=7^9$  ?

•  $3$  

•  $2$  

•  $5$  

•  $6$  

Simplify $\frac{x^3}{x^5}$  .

•  $\frac{1}{x^8}$  

•  $x^2$  

•  $\frac{1}{x^2}$  

•  $x^8$