Unit 9 Exponent Review

Product of Powers

100

Write 3 × 3 × 3 × 3 × 3 with a single exponent.

3⁵

200

Write with a single exponent: 

y⁶ × y⁶

y¹²

300

Write with a single exponent: 

r⁴ × r³ × r

r⁸

400

Simplify:

(3x²)(4x⁵)

12x⁷

500

Simplify: 

(-2x^-7)(3x⁶)

-6/x

Power of a Power

100

(x²)⁶

x¹²

200

(x⁴)^-3

1/x¹²

300

(2x³)²

4x⁶

400

(2x^-4)⁴

16/x¹⁶

500

(3a³b^-2)³

(27a⁹)/b⁶

Quotient of Powers

100

Write with a single exponent:

2⁶/2³

2³

200

Write with a single exponent:

(-8)⁹/(-8)

(-8)⁸

300

Write with a single exponent:

(12³)/(12^-2)

12⁵

400

Write with a single exponent:

(y²)/(y⁷)

1/y⁵

500

Simplify:

(5x³)/(20y^-6)

(x³y⁶)/4

Reading & Writing Scientific Notation

100

Write 7.9 x 10⁵ in standard form.

790,000

200

Write 3.22 x 10^-4 in standard form.

0.000322

300

Write 50,000 in scientific notation.

5 x 10⁴

400

Write 0.0000508 in scientific notation.

5.08 x 10^-5

500

An albulm sold 7,780,000 copies. How many copies does it need to sell to reach 10,000,000 copies. Write your answer in scientific notation.

2,220,000 copies

2.22 x 10⁶

Multiplying & Dividing Scientific Notation

100

Find 6 x (8 x 10^-5)

4.8 x 10^-4

200

Find (7 x 10²) x (3 x 10⁵)

2.1 x 10⁸

300

Find (9.2 x 10¹²)/4.6

2 x 10¹²

400

Find (1.5 x 10^-3)/(7.5 x 10²)

2 x 10^-6

500

The diameter of the sun is 8.65 x 10⁵ miles. The diameter of earth is 7.9 x 10³ miles. How many times greater is the diameter of the sun than the earth? Write your answer in scientific notation.

1.095 x 10²