Laws of and Rational Exponents + Scientific Notation

Multiplying and Dividing

100

Simplify using Laws of Exponents: 

c · c⁵

c⁶

200

Simplify: 

b¹² / b⁸

b⁴

300

Simplify: 

(6b¹²) (3b²)

18b¹⁴

400

Simplify: 

-8r⁵/2r¹⁰

-4/r⁵

500

Simplify: 

(-9r⁰sp^-7)(-3s²p⁴)

27s³/p³

Powers of a Power

100

Simplify: (m²)⁵

m¹⁰

200

Simplify. Write your answer as a power 

(5³)^-5

1/5¹⁵

300

Simplify: (2x⁴)³

8x¹²

400

Simplify: (-2k^-8)⁴

16/k³²

500

Simplify: -(-10p²)^-2

-1/100p⁴

Evaluate Roots

100

square root of 81

+-9

200

cube root of -8

-2

300

cube root of -125

-5

400

square root of -25

not a real number

500

square root of 49x²⁴

7x¹²

Rational Exponents

100

Write in rational exponent form 

square root of 25

25^(1/2)

200

Write in rational exponent form 

cube root of 8

8^(1/3)

300

Write in radical form 36^(1/2)

square root of 36

400

Write in radical form 100^(3/2)

(square root of 100)³

500

Write in radical form 100^(-1/2)

1/(square root of 100)

Scientific Notation

100

Convert into scientific notation: 

0.0000345

3.45 X 10^-5

200

Convert to standard notation: 

987 X 10⁵

98,700,000

300

Convert to standard notation: 4.6 X 10^-6

0.0000046

400

Convert to scientific notation: 0.0003005

3.005 X 10^-4

500

8.4 x 10⁸

^__________

4.2 x 10⁴

Write in scientific form and then simplify

2 x 10⁴ = 20,000