Understanding and applying the laws of exponents to numerical expressions (integral exponents)

Pg. 14

Simplify the expression: 3x²⋅x²=

• 3x

• 3x²⁺²

• 3x⁴

Which of the following are equivalent?

Choose ALL that apply.

•  $\left(9^2\right)^6$ 

•  $\left(9^3\right)^4$ 

•  $9^7$ 

•  $9^{12}$ 

•  $9^2\times9^2\times9^2\times9^2\times9^2\times9^2$ 

• 
• 
• 
• 

3a - 5a = 

• 2a
• - 2a
• 8a
• - 8a

(10⁵) (10⁷)

• 10²

• 10³

• 10¹²

• 10¹³

Simplify. Your answers should only have positive exponents.

• a

• b

• c

• d

In multiplication, when you have matching bases, you ____ the exponents.

• multiply

• subtract

• divide

• add

Determine the truth values of the following compound statements.

 $27$  is a multiple of  $7$  or  $\left(-2\right)^2<0$  

• True

• False

Use the Quotient Rule to solve.

d¹⁰/d⁷

• d¹⁷

• d³

• d⁷⁰

• d¹⁰⁷

Simplify.

(-4)²(-p)³

• 16p³

• -16p⁵

• 16 * (-p)³

• -16p³