Exponents Review

Exponents Review

Helpful Hints

• Any base to the "0" equals 1 (ex: 3⁰=1)

• Any base to the "1st" power equals itself (ex: x1=x)

• When your exponent is negative, you "flip" into reciprocal, keeping the base and exponent (ex:  $2^{-4}=\frac{1}{2^4}$  )

Multiple Choice

Simplify the expression 

 $\left(2^3\right)\ \left(2^2\right)\left(2^0\right)$  

• 10

• 32

• 64

• 0

Multiple Choice

Simplify: x ∙ x ∙ x ∙ x ∙ x  ∙ x

• x⁶
• 6x
• x³
• 6x⁶

Multiple Choice

Rewrite using the same base:

5⁶ ⋅ 5^-2 ⋅ 5^-1

• 5^-3

• 5²

• 5³

• 5^-2

Multiple Choice

When dividing exponential expressions with the same base, what always happens to the exponents?

• they are added together

• they are subtracted

• they are divided

• they are multiplied

Multiple Choice

 $\frac{5^{10}}{5^6}$  

•  $5^{16}$  

•  $5^4$  

• 25

•  $25^4$  

Multiple Choice

Simplify   $\frac{27x^3y^6}{9xy^2}$  

•  $3x^3y^4$  

•  $18x^2y^4$  

•  $3x^2y^4$  

Multiple Choice

Simplify: $\ \left(y^3\right)^{-2}$  

•  $y^1$  

•  $y^{-6}$  

•  $\frac{1}{y^6}$  

•  $\frac{y^3}{y^2}$  

Multiple Choice

Simplify:
 $\left(7y^4\right)^2$  

•  $7y^8$  

•  $14y^6$  

•  $14y^8$  

• 
  

   $7^2y^8$  

Multiple Choice

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

• add
• subtract
• multiply
• divide