Exponent Rules, Square Roots & Scientific Notation

Exponents

100

Simplify the expression: 8⁷ x 8³

8¹⁰

200

Solve: (2x)⁴(3x³)

48x⁷

300

Simplify the expression: m³ x m^-6

1/m³

400

Solve: (5x²y³)(4x⁰y^-1)

20x²y²

500

Simplify the expression: (4c²d³)^-2

1/16c⁴d⁶

Miscellaneous

100

Simplify the expression: 

q^9 / q^6

q³

200

Is 3.278278278....... a rational or irrational number?

rational

300

Is the square root of 27 rational or irrational?

irrational

400

Simplify:  6³c^-2

216/c²

500

-3.17+ 5 - (-6.8)

8.63

Square Roots

100

What is square root of 121

11

200

Which two whole numbers does the square root of 47 fall between

6 & 7 :)

300

Estimate the square root of 80 to the nearest 10th

8.9

400

What is the square root of 1/49

1/7

500

What is the square root of 9/25

3/5

Scientific Notation

100

Convert from standard to scientific notation: 25,000

2.5 x 10⁴

200

Write in standard form: 5.82 x 10⁶

5,820,000

300

Convert to standard form: 1.5 x 10^-3

.0015

400

Convert to scientific notation: .0000006257

6.257 x 10^-7

500

Write in scientific notation: 8.345 x 10^-6

.000008345

Operations with scientific notation

100

(6.2 x 10⁸) + (2.3 x 10⁸)

8.5 x 10⁸

200

(9 x 10³) - (4 x 10²)

Write your answer in scientific notation

8.6 x 10³

300

(2.5 x 10⁵)(5 x 10³)

1.25 x 10⁹

400

(9.45xx10^7)/(2.1xx10^2)

4.5x10⁵

500

(7.3 x 10^-1)(.004)

2.92 x 10^-3