Powers and Roots

Exponents

100

Four times four times four.

4³

200

Express using exponents. 

ab*ab*ab*ab

(ab)⁴ or a⁴b⁴

300

Express using exponents. 

8(c+4)(c+4)

8(c+4)²

400

Evaluate if x=-2, y=3

X²+Y³

31

500

Evaluate if x=3

3(2x+4)²

243

Negative Exponents

100

Express using positive exponents.

11^-6

1/(11^6)

200

Express using positive exponents. 

(-5)^-4

1/((-5)^4)

300

Express using a negative exponent other than -1.

1/9^4

9^-4

400

Express using a negative exponent other than -1. 

1/144

12^-2

500

Evaluate the expressions if  p=-2, and q=6. 

7^pq^2

36/49

Monomials

100

Find each product. 

5^6*5^-2

5⁴

200

Find each product. 

c^2*c^-3

1/c

300

Find each product. 

m^-5*(-4m^6)

-4m

400

Find each quotient. 

25^5/5^2

5⁸

500

Find the quotient. 

8^-7/2^12

1/2^33

Scientific Notation

100

Express in standard form.

6.4*10^4

 

64,000

200

Express in standard form. 

2.3*10^-5

0.000023

300

Express in scientific notation. 

700,000

7*10^5

400

Express in scientific notation.

0.000918 

9.18*10^-4

500

Express in scientific notation. 

0.006752

6.752*10^-3

Square and Cube Roots

100

Find the root. 

sqrt36

+6, -6

200

Find the root. 

Cube root of -216

-6

300

Find the root. 

sqrt-25

Not Possible

400

Simplify. 

x²=169

13, -13

500

Simplify.

x³=-8

x=-2

Real Number System

100

Name all the sets the number belongs. 

4

Natural, Whole, Integer, Rational

200

Name all the sets the number belongs.

0.55555... 

Rational

300

Name all the sets the number belongs. 

sqrt144

Natural, Whole, Integer, Rational

400

Name all the sets the number belongs. 

sqrt26

Irrational

500

Name all the sets the number belongs. 

36/-4

Integer, Rational