Powers and Roots Review

Square & Cube Roots

100

sqrt(64)

 

sqrt(64)

8

200

-√25

-5

300

root2 225

 root2 225

=15

400

Find the square root.

sqrt(-81)

No Solution

500

root2 441

 root2 441

= 21

Powers and Exponents

100

Evaluate this expression

240⁰

240^{0 = 1}

200

Evaluate this expression

x² is x = 11

121

300

Express the following in expanded form:

(-3)^3

(-3)(-3)(-3)

400

Express this expression using exponents

8 · 8 · c · c · c · c · d · d · d

8 ² c ⁴ d ³ 

500

Express the following in expanded form and standard form:

-5^2

-(5)(5)

-25

Properties of Powers

100

Simplify the expression using properties of powers 

x³ · x⁵

x⁸

200

Simplify the expression using properties of powers 

(-v)³ (-v)⁷

(-v )10

300

Simplify the expression using properties of powers 

(9x^3)/(3x)

3x²

400

Simplify the expression using properties of powers.

(x^3)/(x^7)

1/(x^4

500

Simplify the expression using properties of powers 

(y⁴z⁵)⁶

(y^24z^30)

Approximating Square Roots

100

Estimate each square root to the nearest INTEGER. 

sqrt(84)

≈ 9

200

Estimate each square root to the nearest INTEGER. 

sqrt(230)

≈ 15

300

Estimate each square root to the nearest INTEGER. 

√39

≈ 6

400

Estimate each square root to the nearest INTEGER. 

-√150

≈ -12 

500

Estimate each square root to the nearest INTEGER

±√200

≈ ±14