Powers and Roots

Square Roots

100

Find the square root.

sqrt(64)

 

8

200

Find the square root.

sqrt(225)

15

300

Find the square root.

sqrt(-81)

No real solution

400

Estimate each square root to the nearest INTEGER. 

sqrt(84)

Is about 9

500

Estimate each square root to the nearest INTEGER. 

sqrt(230)

Is about 15

Powers and Exponents

100

Evaluate this expression

240⁰

240^{0 = 1}

200

Evaluate this expression

x² is x = 11

x² is x = 11

11*11= 121

300

Evaluate this expression

c⁶ is c = 2

c⁶ is c = 2

2*2*2*2*2*2

8*8

64

400

Express this expression using exponents

8 · 8 · c · c · c · c · d · d · d

8 ² c ⁴ d ³ 

500

Solve this expression below

b²a if b= 8 and a=-3

b²a if b= 8 and a=-3

8*8*-3

64*-3

-192

Negative Exponents

100

Write each expression using a positive exponent.

( -2) ^{- 6} 

( -2) ^{- 6} 

1/(-2)^6

200

Write each expression using a positive exponent.

q^-5

q^-5 

1/(q^5)

300

Write each fraction as an expression using a negative exponent other than -1.

1/(25)

5^-2

400

Write each fraction as an expression using a negative exponent other than -1.

1/(121)

11^-2

500

Write each fraction as an expression using a negative exponent other than -1.

1/(27)

3^-3

Multiplying and Dividing Monomials

100

Find each product. Express using positive exponents 

2³ · 2⁵

2³ · 2⁵ = 2⁸

200

Find each product. Express using positive exponents

(-v)^-3 (-v)⁷

(-v)^-3 (-v)⁷ = (-v )⁴ 

300

Find each product. Express using positive exponents
(8c² )(9c)

(8c² )(9c)= 72c³

400

Find each quotient. Express using positive exponents.

(-2)^3/(-2)

(-2)²

500

Find each quotient. Express using positive exponents.

(q)^4/(q)^8)

q^-4

Scientific Notation

100

Express each number in standard form
6.78 × 10²

6.78 × 10²= 678

200

Express each number in standard form

5.925 × 10⁶ 

5.925 × 10⁶ = 5,925,000

300

Express each number in standard form

8.075 × 10^{- 4} 

8.075 × 10^{- 4} = 0.0008075

400

Express each number in scientific notation

17,400

17,400= 1.74 × 10 ⁴ 

500

Express each number in scientific notation

0.0054

0.0054= 5.4 × 10^-3 

Cube Roots

100

Find each cube root. 

3sqrt(-64)

3sqrt(-64)

= -4

200

Find each cube root. 

3sqrt(125)

3sqrt(125)

=5

300

Estimate each cube root to the nearest integer. 

3sqrt(67)

3sqrt(67)

Is about 4

400

Estimate each cube root to the nearest integer. 

3sqrt(32)

3sqrt(32)

Is about 3

500

Estimate each cube root to the nearest integer. 

3sqrt(1012)

3sqrt(1012)

Is about 10

Random Knowledge

100

Who was the first president of the United States?

George Washington

200

How many feet are in a yard?

3 Feet

300

In what year was Poplar, Mt established as a town?

1880

400

What is the formula for the area of a square?

Area=Length x Width

500

Who is Shrek's wife?

Fiona