Negative Exponents and More

Negative Exponents and More

Examples of negative exponents

Multiple Choice

Simplify: $3^{-3}$ 

•  $\frac{1}{9}$  

•  $-\frac{1}{27}$  

•  $\frac{1}{3^{-3}}$  

•  $\frac{1}{27}$  

Multiple Choice

 $a^{-4}$  

•  $-a^4$  

•  $\frac{1}{a^4}$  

•  $-4a$  

•  $\frac{1}{4a}$  

Multiple Choice

Simplify the following expression:  $\frac{1}{x^{-7}}$  

•  $x^7$  

•  $7x$  

•  $\frac{1}{x^7}$  

•  $-\frac{1}{x^7}$  

Multiple Choice

What is 10⁰ equivalent to?

• 1
• 10
• 0
• 100

When you MULTIPLY 2 terms with the SAME BASE, ADD their exponents.

Multiple Choice

Multiply:  $\left(4x^2\right)\left(3x^3\right)$  

•  $12x^5$  

•  $12x^6$  

•  $7x^6$  

•  $7x^6$  

When you DIVIDE 2 terms with the SAME BASE, SUBTRACT their exponents.

Multiple Choice

Simplify

• 2x⁶

• 2x

• 2x⁵

• 2x⁸

Multiple Choice

 $\left(x^5y^3\right)^6$  

•  $x^{11}y^9$  

•  $x^{30}y^3$  

•  $x^{11}y^{18}$  

•  $x^{30}y^{18}$  

Multiple Choice

(2⁸)²

• 2¹⁶

• 2¹⁰

• 2⁶

• 2⁴

Multiple Select

Which are the same as 9? Select TWO

• 9¹

• 3²

• 9⁰

• 3³

Multiple Choice

Simplify

• 7a⁵/b³

• b³/7a⁵

• 7b³/a^-5

• 7b³ /a⁵

Multiple Select

Which is the same as 1/4? Select THREE

• 2^-2

• 1/2^-2

• 1/2²

• 4^-1

Multiple Choice

Solve 5^-2

• -10

• 1/25

• 1/(5)²

• -1/10

Multiple Select

Which is the same as 10^-3? Select TWO

• 1/1000

• 1/10³

• -1000

• -(1/10³)

Multiple Choice

Simplify

• x⁴

• x^-4

• 1/x⁴

• 1/x⁵

Multiple Choice

Which is greater,  2654⁰ or 5⁰?

• 2654⁰
• 5⁰
• They are the same
• Zero is greater

Multiple Choice

Rewrite the following expression using a positive exponent:  $g^{-7}$  

•  $\frac{1}{g^7}$  

•  $g^7$  

•  $-\frac{1}{g^7}$  

•  $-g^7$  

Multiple Choice

Simplify the expression.

I suggest that you expand it out.

• 8ac

• -24abc

• -8ac

• -8abc

Multiple Choice

Simplify $\left(5x^3\right)^2$   

•  $8x^{15}$  

•  $25x^6$  

•  $9x^4$  

•  $\frac{1}{3125x^5}$  

Multiple Choice

Simplify

 $5x^4\cdot4x^5$   

•  $\frac{4}{x^2}$  

•  $20x^{20}$  
  

•  $20x^9$  

•  $\frac{9}{x^4}$  

Multiple Choice

 $\frac{18c^2}{-3c^3}$  

•  $\frac{6}{c}$  

•  $-6c^{ }$  

•  $\frac{-6}{c}$  

•  $\frac{18}{-3c}$