Law of Exponents and Scientific Notation Review

Product Rule

100

Simplify: 

(x²)(x⁷)

x⁹

200

Simplify: 

(a⁵)(a)(a¹²)

a¹⁸

300

Simplify: 

(17s⁴)(2s³)

34s⁷

400

Simplify:

(r²t³)(15rt¹¹)

15r³t¹⁴

500

Simplify:

(-2x²y⁴)(6y⁵z)(3xz⁶)

-36x³y⁹z⁷

Quotient Rule

100

Simplify:

x⁷/x³

x⁴

200

Simplify:

6x¹¹/3x

2x¹⁰

300

Simplify:

17x²⁵/4x⁶

17x¹⁹/4

400

Simplify:

a²b⁶c⁷/ab⁴c⁷

ab²

500

Simplify:

4w³x⁸y⁹/8w²x³y

wx⁵y⁸/2

Power Rule

100

Simplify:

(x³)⁹

x²⁷

200

Simplify:

(2x⁴)³

8x¹²

300

Simplfy:

(x⁴/y⁶)²

x⁸/y¹²

400

Simplify:

(5s⁴tv⁵)⁴

625s¹⁶t⁴v²⁰

500

Simplify:

((3m³n⁵)²)³

729m¹⁸n³⁰

Zero Exponent and Negative Exponent Rule

100

Simplify:

5,625⁰

1

200

Simplify:

x^-8

1/x⁸

300

Simplify:

-7x⁰

-7

400

Simplify:

a³b^-9c^-1

a³/b⁹c

500

Simplify:

5^-2d^-5n⁷s^-2/j^-6b³

n⁷j⁶/25d⁵s²b³

Scientific Notation

100

Convert to standard notation:

5.24 x 10⁶

5,240,000

200

Convert to scientific notation:

0.000463

4.63 x 10^-4

300

Simplify the following. Leave in scientific notation.

(2.2 x 10⁶)(3.3 x 10^-9)

7.26 x 10^-3

400

Simplify the following. Leave in scientific notation:

(2 x 10^-2) / (5 x 10^-7)

4 x 10⁴

500

Simplify the following. Then convert to standard form.

(4.5 x 10⁵)(2 x 10^-4)

90