Exponents, Roots, and Scientific Notation Review

Exponents

100

Simplify the expression. Leave an exponent in your answer. 

16¹⁰ × 16⁴

16¹⁴

200

Simplify the expression. Leave an exponent in your answer.

(3^-5)⁶

1/3³⁰

300

Simplify the expression. Leave an exponent in your answer.

(7⁸ x 7¹) / 7¹⁵

1/7⁶

400

Find the value of x to make the following equation

true.

(3²)³ x 3^x = (3⁷ x 3³)/ 3¹¹

x = -7

500

Simplify the expression. 

(5x^-3y⁴)²/5x^-4

5y⁸/x²

Squares and Square Roots

100

Solve (-11)²

121

200

The negative square root of .81

-.9

300

Solve the square root of 36/169

6/13

400

The square root of 16/64 - the square root of 49/64

-3/8

500

(5)²+(8)² - the square root of 81

25+64= 89

89-9= 80

Cubes and Cube Roots

100

Solve the cube root of 216

3

200

Solve 9³

729

300

Solve the negative cube root of 512 

-8

400

Solve the cube root of 1/64

1/4

500

Solve 7³ - 8³

-169

Scientific Notation (Add or Subtract)

100

Solve (4.7 x 10⁷) + (3.3 + 10⁷) Write answer in scientific notation

8 x 10⁷

200

Write 0.000678 + 0.000234 in scientific notation

9.12 x 10^-4

300

Solve (9 x 10^-3) - (4 x 10^-3) Write answer in scientific notation

5 x 10^-3

400

Solve (6.1 x 10²) - (7.9 x 10¹) Write answer in scientific notation

5.31 x 10²

500

Solve (5.9 x 10³)+(1.2 x 10⁵) Write answer in scientific notation

1.259 x 10⁵

Scientific Notation (Multiply or Divide)

100

Solve (1.5 x 10⁵)(5 x 10³) Write answer in scientific and standard notation

7.5 x 10⁸ 

750,000,000

200

Solve (27 x 10⁹)/(9 x 10⁷)

3 x 10²

300

300

Solve (3 x 10⁴)(7.2 x 10²) Write answer in scientific and standard notation

2.16 x 10⁷ 

21,600,000

400

Solve (6 x 10^-3)/.00003 Write answer in scientific and standard notation

2 x 10²

200

500

Solve (7.3 x 10^-1)(.004) Write answer in scientific and standard notation

2.92 x 10³

2,920