Chapter 8 Review

Laws of Exponents

100

Simplify x²x³

x⁵

200

Simplify 6⁰x⁰y²

y²

300

Simplify (2x⁵)³

8x¹⁵ 

400

Simplify (3x⁵y³)²

9x¹⁰y⁶

500

Simplify

(3x⁰y²)(2x^-2y³)³

24x^-6y¹¹ or 24y¹¹/x⁶

More Laws of Exponents

100

Simplify x⁷/x⁴

x³

200

Write an equivalent expression to x^-2/x^-5 that does not have negative exponents

x⁵/x²

300

Simplify (x⁴/x¹)²

x⁶

400

Simplify (x^-3y⁰z⁴)³ 

x^-9z¹²  or  z¹²/x⁹

500

Simplify

12x⁵y³/4x³y⁷

3x²y^-4  or 3x²/y⁴

Convert TO Scientific Notation

100

385,000,000

3.85 x 10⁸

200

0.000000004 (8 zeros between decimal and 4)

4 x 10⁹

300

753.2

7.532 x 10²

400

0.0005005

5.005 x 10^-4

500

83.445

8.3445 x 10¹

Convert FROM Scientific Notation

100

3.04 x 10⁵

304,000

200

3.333 x 10^-5

0.00003333

300

2.00032 x 10¹⁰

20,003,200,000

400

3 x 10^-6

0.000003

500

5.50304 x 10³

5,503.04