Chapter 4 & 5 Review - Compacted

Powers & Exponents

100

Write with exponents

-7·-7·-7·-7

(-7)⁴

200

Evaluate each expression. 

4⁰ · 5

5

300

Evaluate the expression

(-4)³

-64

400

Evaluate if z=-5

z² - 6

19

500

Evaluate if w=-3/4

w³y²

-27/64

Negative Exponents

100

Write with a positive exponent

9^-4

1/9⁴

200

Write the expression with positive exponents

5x^-3

5/x³

300

Evaluate the expression if x=3 and y=-2

xy^-4

3/16

400

Evaluate if x=4 and y=-2

2xy^-3

 -1

500

Write the following decimal as a power of 10, using a negative exponent

0.0001

10^-4

Multiply & Divide Monomials

100

Find each product or quotient. Express with positive exponents.

(2h⁷)(6h)

12h⁸

200

Find each product or quotient. Express with positive exponents.

(-7)x(-7)⁴

(-7)⁵

300

Find each product or quotient. Express with positive exponents.

(6x⁷y^-3)/(2x²y³)

(3x⁵)/y⁶

400

Find each product or quotient. Express with positive exponents.

(-4x⁵y)(5x^-10y²)

-20y³/x⁵

500

Find each product or quotient. Express with positive exponents.

(6x^-3y⁸)/(12x^-3y⁵)

y³/6

Power to a Power

100

(2x^4y^3)^5

2^5x^20y^15

200

(-5a^3b)^3

(-5)^3a^9b^3

300

(-2mn^5)^4

(-2)^4m^4n^20

400

(-5a^-3b)^-2

a^6/((-5)^2b^2)

500

((3^2x^-3)/(y^-4))^-2

x^6/(3^4y^8)

Scientific Notation

100

Write in standard form. 

5.82 x 10⁴

58,200

200

Write in scientific notation. 

0.000561

5.61 x 10^-4

300

Evaluate. Express in scientific notation. 

(5.8x10⁹)(2x10^-3)

1.16x10⁷

400

Evaluate. Express in scientific notation.

(3.9x10^-6)/(5x10^-2)

7.8x10^-5

500

Until 2008, the largest cattle ranch was located in Australia and was 6x10⁶ acres. The largest ranch in the US was 8.25x10⁵ acres. About how many times larger was the ranch in Australia than the one in the US?

7.3 times larger

The Real Numbers System

100

Classify the sets the number belongs. 

√35

real, irrational

200

Classify the sets the number belongs. 

-14/2

real, rational, integer

300

root(3)-512

-8

400

sqrt-25

no real solution

500

Order the set from least to greatest

{√64, 8¹/₇, 8.14, 15/2}

15/2, √64, 8.14, 8 ¹/₇