Exponent Rules

Exponent Rules

Review of what we have learned.

Multiple Choice

Write the exponent form of this expression: n⋅n⋅n⋅s⋅s⋅s⋅2⋅2=

• 2²⋅n³⋅s³
• 2²ns⁶
• 4(3n)(3s) 

Multiple Choice

Rewrite using a positive exponent.
g^-7

• ¹/_g⁷
• g⁷
• ¹/_g^-7
• -g⁷

Multiple Choice

Simplify x²y^-5

• $\frac{x^2}{y^5}$
  

• $\frac{1}{x^2y^5}$

• $\frac{y^5}{x^2}$
  

• $\frac{x^2}{y^{-5}}$

Multiple Choice

 $\frac{1}{w^{-2}}$  

•  $w^2$  

•  $-2w$  

•  $2w$  

•  $\frac{2}{w}$  

•  $\frac{1}{w^2}$  

Multiple Choice

Rewrite using a Positive Exponent:    $5n^{-9}$  

•  $-5n^9$  

•  $-\frac{5}{n^9}$  

•  $\frac{5}{n^9}$  

•  $-45n$  

•  $45n$  

Multiple Choice

 $x^{-7}$  

•  $\frac{1}{x^{-7}}$  

•  $\frac{1}{x^7}$  

•  $x^7$  

•  $7x$  

•  $-x^7$  

Multiple Choice

Write with positive exponents:

• a^-2

• a²

• $\frac{1}{a^2}$

• 2a

Multiple Choice

How do you solve:
(2x⁵)(6x⁴)

• MULTIPLY coefficients
  MULTIPLY exponents
• DIVIDE coefficients
  SUBTRACT exponents
• Combine like terms
• MULTIPLY coefficients
  ADD exponents

Multiple Choice

Simplify the expression: r⁶⋅r²⋅r³=

• r⁶⁺²⁺³

• r¹¹

• 11r

Multiple Choice

Simplify

x² ∗ x⁶

• x⁸

• x⁴

• x¹²

• 2x⁸

Multiple Choice

Simplify the following expression:

2x³y⁵ ⋅ 5xy²

• 10x⁴y⁷

• 7x⁴y⁷

• 10x³y¹⁰

• 7x³y¹⁰

Multiple Choice

Simplify   (2m⁴)(5m²)

• 10m⁶
• 10m⁸
• 7m⁶
• 7m⁸

Multiple Choice

Simplify

2x³ ∗ 4x⁵

• 8x⁸

• 6x⁸

• 6x¹⁵

• 8x¹⁵

Multiple Choice

Simplify the expression. 
(6x²)(-3x⁵)

• 18x⁷
• -18x⁷
• 18x⁷
• 3x⁷

Multiple Choice

Quotient Rule states: keep the base the same and do this to the exponents.

• multiply
• add
• subtract
• divide

Multiple Choice

True or False: 

• True 
• False

Multiple Choice

Simplify:

 $\frac{a^5b^{10}}{a^3b^3}$  

•  $a^8b^{13}$  

•  $a^2b^7$  

•  $a^{15}b^{30}$  

• None of the above

Multiple Choice

Simplify:

 $\frac{20x^7}{10x^5}$  

•  $10x^{-2}$  

•  $2x^2$  

•  $2x^{12}$  

•  $10x^{12}$  

Multiple Choice

Simplify:

 $\frac{a^5b^{10}}{a^3b^3}$  

•  $a^8b^{13}$  

•  $a^2b^7$  

•  $a^{15}b^{30}$  

• None of the above

Multiple Choice

Simplify  $\frac{10x^4}{15x^2}$  .

•  $\frac{x^2}{5}$  

•  $5x^2$  

•  $\frac{2x^4}{3}$  

•  $\frac{2x^2}{3}$  

Multiple Choice

Simplify:  $\frac{12x^5y^4}{2x^9y}$  

•  $6x^{-4}y^3$  

•  $\frac{6y^3}{x^4}$  

•  $\frac{12y^3}{2x^4}$  

•  $\frac{6x^{-4}}{y^3}$  

Multiple Choice

Simplify:  $\frac{50r^6n^{-7}}{2n^2r^4}$  

•  $25r^4n^5$  

•  $\frac{25r^4}{n^5}$  

•  $\frac{25r^2}{n^9}$  

•  $25r^2n^{-9}$  

Multiple Choice

Simplify:  $\frac{-15x^9}{10x^{17}}$  

•  $\frac{5}{x^8}$  

•  $\frac{-3x^8}{2}$  

•  $\frac{-3x^{-8}}{2}$  

•  $\frac{-3}{2x^8}$  

Multiple Choice

Simplify
(y³)⁵

• y¹⁵
• y⁸
• y⁻²
• y