Ch. 1 Exponent Review

Write Without Negative Exponents

100

2x^-1

2/x

200

(4x)^-1

1/(4x)

300

x^-9/x³

1/x¹²

400

36n/12n^-2

3n³

500

12x^-6/4x^-6

3

Expand and Evaluate

100

(-3)⁰

1

200

(-1/2)²

1/4

300

10⁵

100,000

400

(3/4)²

9/16

500

(-8)²

64

Simplify Each Expression Using Exponential Notation

100

6x * 2x 

12x²

200

(5b)²

25b²

300

10x⁴y⁷ * 3x^-2y⁴

30x²y11

400

28m⁸n² / 4m⁵n

7m³n

500

6⁷*21² / 6^5*7²

324

Prime Factorization

100

10

2*5

200

24

2*2*2*3 or 2³*3

300

820

2*2*5*41 or 2²*5*41

400

560

2*2*2*3*3*7 or 2³*3²*7

500

1768

2*2*2*13*17 or 2³*13*17

Word Problems

100

If something is a perfect square and has an area of 14,400 square feet. What is the perimeter of the square?

480 ft²

200

The area of a round rug is 49*pi square inches. What is the diameter of the rug? (A = pi*r²)

14 inches 

300

A rectangular prism has a length of 5x, a width of 2x, and a height of 6x inches. If the prism has a volume of 3,840 cubic inches, find the value of x. 

4 

400

A pendulum bob in the shape of a sphere has a volume of 972π  cubic millimeters.  What is the surface area of the pendulum bob in terms of π?

Volume of a sphere:    V= 43⋅π⋅r³

Surface area of a sphere:        SA=4⋅π⋅r²

324*pi or 1,017.88

500

For the following problems, use the formula =P(1+r)ⁿ , where A represents the final amount of investment, P is the original principal, r is the interest rate, and n is the number of years of investment. 

Victoria invest $20,000 in a saving account.  Three years later, there was $26,620 in her account.  What is the rate of interest that she was paid?

10%