Exponent Rules

According to exponent rules, when we multiply the expressions we _______ the exponents.

• add
• subtract
• multiply
• divide

Simplify to an equivalent expression BUT leave in exponent form.
                                   4³⋅4⁵

• 4⁸
• 16⁸
• 4¹⁵
• 16¹⁵

What is the base in 2⁸ ?

• 8
• 2

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

• add
• subtract
• multiply
• divide

8⁷ ⁄ 8²

• 8⁵
• 8⁹
• 8¹⁴
• 1⁵

3³ ⋅ 3

• 3⁴
• 3³
• 3⁰
• 1 ⁄ 3⁴

When using the Power to a Power rule, what are you supposed to do with the exponents? ex.  $\left(x^9\right)^{12}$  

• Add the exponents.

• Multiply the exponents.

• Subtract the exponents.

• Make it  $12x^9$  

Simplify the following:  $\left(4x^3\right)^4$  

•  $16x^7$  

•  $4^4x^7$  

•  $4^4x^{12}$  

•  $16x^{12}$  

(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴

 $x^3\cdot x^4\ =$  

•  $x^{12\ }$  

•  $x^{-1}$  

•  $x^7$  

•  $x^{34}$