Exponents
Scientific Notation
Prime Factorization
Approximating Roots
Equations with Roots
100

Simplify the following: x^2 * x^3

x^5

100

Write the number in scientific notation: 14,000

1.4 * 10^4

100

Write the number in exponential form using prime factorization: 36

2^2 * 3^2

100

Which two perfect sqaures is the sqaure root of 24 in-between?

Square root of 16 and 25

100

Solve the following equation: x^2 = 4

x = 2 and -2

200

Simplify the following: x^-10

1/x^10

200

Write the number in scientific notation: 0.0000056

5.6 * 10^-6

200

Write the number in EXPONENTIAL form using prime factorization: 81

3^4

200

Which two perfect cubes is 45 in-between?

The cube root of 27 and 64.

200

Solve the following equation: x^3 = 8

x = 2

300

Simplify the following: x^-4 * x^7 * y^2

x^3 * y^2

300

Write the number in STANDARD form: 7.54 * 10^5

754,000

300

Determine the cube root of 125 through prime factorization.

125 = 5^3 so the cube root is = 5

300

Which two whole numbers is the square root of 151 in-between?

12 and 13.

300

Solve the following equation: x^2 = 144

x = 12 and -12

400

Simplify the following: (2 * x^2)^4

16x^8

400

Simplify the following: (1.4 * 10^2) * (4.5 * 10^4)

6.3 * 10^6

400

Determine the square root of 121 using prime factorization.

121 = 11^2 so the square root is = 11

400

Which two whole numbers is the cube root of 636 in-between?

8 and 9.

400

Solve the following equation: x^3 = -64

x = -4

500

Simplify the following: (2^0 * x^6)/(x^-1) 

x^7

500

Simplify the following: (8.7 * 10^-2) + (7.3 * 10^-3)

9.43 * 10^-2

500

Determine the cube root of 216 using prime factorization.

512 = 2^3 * 3^3 so the cube root is = 2*3 = 6

500

Which whole number is the square root of 221 closest to?

15

500

Solve the following equation: x^2 = -36

NO SOLUTION (You cannot take the square root of a negative number!)

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