Square Roots and Exponents

Square Roots

100

What is the positive square root of 121?

11

200

What is the negative square root of 64?

-8

300

What are the positive and negative square roots of 100?

10 and -10

400

What is the square root of -36?

-36 has NO square root

500

What is the negative square root of 144?

-12

Mixed Practice

100

Anything raised to the power of zero is ____.

Anything raised to the power of zero is ONE.

200

Simplify    sqrt(100v^3)

10v sqrt(v)

300

Simplify so that there are only positive exponents:

(a^2)^-2 

1/a^4

400

Simplify: (3 x^3 y^5)^3

27x^9y^15

500

Simplify:  5* sqrt(36 x^2 y^5)

30xy^4 sqrt(y) 

Multiplying with Exponents

100

d^5 * d^10

d^15

200

3x^7 * 4x^8

12x^15

300

12y^11 * 6y^20

72y^31

400

10a^4b^11 * 3a^3b^2

30a^7b^13

500

6x^4y^10z^11 * 7x^12y^3z^14

42x^16y^13z^25

Dividing with Exponents

100

b^10 / b^2

b^8

200

a^10b^14 / a^4b^8

a^6b^6

300

12x^12 / 8x^4

3x^8 / 2

400

45y^3 / 25y^9

9 / 5y^6

500

36x^3y^10 / 60x^8y^7

3y^3 / 5x^5

Multiplying/Dividing with Exponents Mix

100

3y^14 * 8y

24y^15

200

120b^11 / 50b^3

12b^8 / 5

300

6a^4b^9 * 16a^12b^11

96a^16b^20

400

10a^3b^2 / 40a^9b^5

1 / a^6b^3

500

12x^8y^11 / 28x^3y^15

3x^5 / 7y^4