5.4 Part 1 Evaluating Expressions using Exponent Rules

Summative 5.4: Evaluating Expressions using Exponent Rules

Multiple Choice

Using exponents, simplify the following expression:

5⁵ * 5^-3

• 5^-15

• 5⁸

• 5^-8

• 5²

Multiple Choice

Using exponents, simplify the following expression:

(f^-6)(f¹⁰)

• f¹⁶

• f⁴

• 1/f⁴

• 1/f¹⁶

Multiple Choice

Using exponents, simplify the following expression:

z^-3 * z⁶ * z^-3

• 1

• z⁶

• z⁵⁴

• 1/z⁶

Multiple Choice

 $\frac{x^5}{x^2}$  

•  $x^2$  

•  $\frac{1}{x^3}$  

•  $3x$  

•  $x^3$  

Multiple Choice

 $\frac{12x^7}{-3x^2}$  

•  $-4x^9$  

•  $-4x^5$  

•  $\frac{4}{x^5}$  

•  $4x^5$  

Multiple Choice

 $\frac{9a^3b^5}{-3ab^2}$  

•  $-3a^3b^3$  

•  $-3a^4b^7$  

•  $12a^2b^3$  

•  $-3a^2b^3$  

Multiple Choice

If a number or variable does not have an exponent, we can assume the exponent is___ (Example: a)

• 0

• 1

Multiple Choice

 $365^0=$  

• 0

• 1

• 365

•  $\frac{1}{365}$  

Multiple Choice

 $y^0=$  

• y

• 0

• 1

• 10

Multiple Choice

Rewrite using a positive exponent.
7^-10

• ¹/_7¹⁰
• 7¹⁰
• ¹/_7^-10
• -70

Multiple Choice

Rewrite using a positive exponent.
g^-7

• ¹/_g⁷
• g⁷
• ¹/_g^-7
• -g⁷

Multiple Choice

Simplify.
s^-5 ⋅ s^-2

• s^-3
• ¹/_s⁷
• s^-7
• ¹/_s³

Multiple Choice

Simplify: (r⁴)⁶

• 10r

• r¹⁰

• 24r

• r²⁴

Multiple Choice

Simplify: $\ \left(y^3\right)^{-2}$  

•  $y^1$  

•  $y^{-6}$  

•  $\frac{1}{y^6}$  

•  $\frac{y^3}{y^2}$  

Multiple Choice

Simplify: (x²y³)³

• x⁶y⁹

• x⁵y⁶

• x¹

• x⁶y⁶

Multiple Choice

Simplify: (5ab²)²

• 25a²b⁴

• 10a²b⁴

• 5a²b⁴

• 25ab²

Multiple Choice

Simplify (-3x⁴y⁵)²

• 9x⁸y¹⁰
• 6x⁸y¹⁰
• 3x⁸y¹⁰
• -9x⁸y¹⁰

Multiple Choice

Simplify the following:
 $\left(\frac{x^2}{y^3}\right)^4$  

•  $\frac{x^8}{y^{12}}$  

•  $\frac{x^6}{y^7}$  

•  $x^8y^{12}$  

Multiple Choice

Simplify the following:
 $\left(\frac{x^2y}{z^3}\right)^5$ 

•  $\frac{x^{10}y^5}{z^{15}}$ 

•  $\frac{x^{10}y}{z^{15}}$ 

•  $\frac{x^{10}y}{z^3}$ 

Multiple Choice

Simplify the following:
 $\left(\frac{3x^3}{5y}\right)^2$  

•  $\frac{9x^6}{25y^2}$  

•  $\frac{9x^3}{25y}$  

•  $\frac{9x^6}{5y}$