5.1 Exponent Rules Part Two

5.1 Exponent Rules Part Two

Multiple Choice

Simplify 10⁰

• 10
• 1
• 0
• 100

Multiple Choice

Simplify (-9)⁰

• -9
• -1
• 1
• 9

Multiple Choice

(5³x²y⁴)⁰

• 5xy
• 1
• 0
• 5

Multiple Choice

Simplify (-4x)⁰

• -4

• -4x

• -1

• 1

• 0

Multiple Choice

7x⁰

• 7x

• 7

• 1

• 0

Multiple Choice

Simplify

x⁻⁶

• $\frac{1}{x^6}$

• x⁶

• -x⁶

• $\frac{-1}{x^6}$

Multiple Choice

Rewrite using a positive exponent.

g^-7

• $\frac{1}{g^7}$

• $g^7$
  

• $\frac{1}{g^{-7}}$

Multiple Choice

Rewrite using a positive exponent.

2w^-13

• -w¹³

• $\frac{2}{w^{13}}$

  
  

• $\frac{2}{w^{-13}}$

• $2w^{13}$

Multiple Choice

Simplify

• $\frac{7a^5}{b^3}$

  
  

• $\frac{b^3}{7a^5}$

• $\frac{7b^3}{a^{-5}}$

• $\frac{7b^3}{a^5}$

Multiple Choice

Simplify the following expression:

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Multiple Choice

Simplify:
(7y⁴)²

• 7y⁶
• 14y⁸
• 14y⁶
• 49y⁸

Multiple Choice

Simplify.  $\left(5y^3z^2\right)^5$  

•  $5^5y^{15}z^{10}$  

•  $5^5y^8z^7$  

Multiple Choice

(5^2c^3)^5

• 10^5c^5
• 5^7c^8
• 5^10c^15
• 5^10/c^15

Multiple Choice

 Using exponents, simplify the following equation:

  $\left(\frac{x}{3}\right)^2$  

•  $x^2\times3^2$  

•  $\frac{x^2}{6}$  

•  $\frac{2x}{3^2}$  

•  $\frac{x^2}{3^2}$  

Multiple Choice

Simplify  $\left(\frac{3x^2}{8y^3}\right)^2$  

•  $\frac{9x^4}{64y^6}$  

•  $\frac{9x^4}{8y^3}$  

•  $\frac{3x^4}{8y^6}$ 

•  $\frac{9x^2}{8y^6}$  

Let's Practice

Multiple Choice

 $x^{-7}$  

•  $\frac{1}{x^{-7}}$  

•  $\frac{1}{x^7}$  

•  $x^7$  

•  $7x$  

Multiple Choice

Simplify

(y³)⁵

• y¹⁵

• y⁸

• y⁻²

• y

Multiple Choice

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

•  $-5n^9$  

•  $-\frac{5}{n^9}$  

•  $\frac{5}{n^9}$  

•  $-45n$  

Multiple Choice

(5³x²y⁴)⁰

• 5xy
• 1
• 0
• 5

Multiple Choice

Simplify (-9)⁰

• -9
• -1
• 1
• 9

Multiple Choice

Simplify:  $2m^{-1}$  

•  $\frac{1}{2m}$  

•  $\frac{m}{2}$  

•  $\frac{2}{m}$  

•  $2m$  

Multiple Choice

Simplify:  $\left(2m\right)^5$  

•  $10m^5$  

•  $32m^5$  

•  $25m^5$  

•  $\frac{1}{2m^5}$  

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:  $\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$  

•  $16a^8b^9c^9$  

•  $8a^8b^9c^9$  

•  $8a^6b^5c^6$  

•  $16a^5b^5c^6$  

Multiple Choice

Simplify:  $3n^5\cdot5n^{10}$  

•  $15n^5$  

•  $8n^{15}$  

•  $15n^{50}$  

•  $15n^{15}$  

Multiple Choice

Simplify:  $6^5\cdot6^2$  

•  $6^7$  

•  $6^3$  

•  $36^7$  

•  $6^{10}$