Chapter 7 Review

Scientific Notation

100

Write 0.0000000046 in scientific notation

4.6 x 10^-9

200

Write 34,000,000 in scientific notation 

3.4 x 10⁷

300

Multiply (3.5 x 10⁴)(4.5 x 10³)

1.575 x 10⁸

400

Divide (4.6 x 10³) / (2.3 x 10 ^-5)

2 x 10⁸

500

Grainger consumes 3600 calories a day, in scientific notation how many calories does he consume in a year?

1.314 x 10⁶

Multiply Powers

100

x⁵x⁶

x¹¹

200

(4x³)(6x⁸)

24x¹¹

300

(-4x⁵y⁷)(5x²y⁴)

-20x⁷y¹¹

400

(-3x^-4y⁷)(-5x¹²y^-4)

15x⁸y³

500

(3x⁷y⁴)(2x⁴y⁶)(-6x^-2y^-4)

-36x⁹y⁶

Power to a Power

100

(x³)²

x⁶

200

(3x²)⁴

81x⁸

300

(3x²)³(4x²)²

432x¹⁰

400

(3x⁴y⁵)⁰(3x²)¹

3x²

500

(4x^-2y⁸)⁴(5x¹⁰y^-2)²

6400x¹²y²⁸

Divide Powers

100

x³/x²

x

200

(3x⁷) / (12x¹⁴)

1/(4x⁷)

300

(14x²y⁶) / (2x⁷y²)

(7y⁴) / (x⁵) 

400

(3x⁸y⁷) / (9x⁰y⁷)

x⁸ / 3

500

(25x⁷y⁹) / (5² x⁷y⁹)

1

Growth & Decay

100

What is the initial amount?   y = 14 ^. 1.05^x 

14

200

What is the growth factor?  y = 13 ^. 0.98^x

0.98

300

Is the formula exponential growth or decay?

y = 15 ^. 0.65^x

Decay

400

A pond with 450 fish experiences a loss of 4% of fish a day, what will the total number of fish be at the end of 30 days?

about 132

500

Calculate the amount of money in an account that has $1200 principal compounded annually at 3% interest, for 12 years. 

 $1710.91