Exponent Laws and Square Roots

Multiplying Powers

100

(x⁵)(x¹⁰)

What is x¹⁵

200

(-9x¹²)(7x)

What is -63x¹³

300

(-12x⁷y²)(8x^-4y⁶)

What is -96x³y⁸

400

(8x^-4y^-6)(-5x¹⁰y^-3)

What is (-40x⁶)/y⁹

500

(7x^-10y⁹z^-7)(-2x⁸y^-12z)

What is -14/ (x²y³z⁶)

Dividing Powers

100

(x^12)/(x^7)

What is x⁵

200

(-15x^33)/(3x^11)

What is -5x²²

300

(7x^12y^4z)/(14x^7y^2)

What is

(x^5y^2)/2

400

(18x^8y^3z)/(4x^3y^8z^3)

What is

(9x^5)/(2y^5z^2)

500

(3x^-2yz^5)/(15x^7y^-3z^-4)

What is 

(y^4z^9)/(5x^9)

Power to a Power

100

(x⁶)³

What is x¹⁸

200

(2x⁸)⁵

What is 32x⁴⁰

300

(-2x⁴)³

What is -8x¹²

400

(2x^-3y⁵)³

What is 8y¹⁵/x⁹

500

(-3x^-2y⁴z^-7)³

What is -27y¹²/x⁶z²¹

Negative Exponents

100

x^-7

What is

1/x^7

200

5x^-3

What is

5/x^3

300

(5x^-3)/(4x^-3)

What is

5/4

400

(4x^-3y⁴)^-2

What is

x^6/ (16y^8)

500

(-2x⁶yz^-8)^-3

What is

-z^24/(8x^18y^3)

Evaluate

100

-2²

What is -4

200

(-2)²

What is 4

300

-2^-2

What is 

-1/16

400

- sqrt 121

What is -11

500

- sqrt36(2sqrt25)

What is -60

Simplifying Radicals

100

sqrt12

2 sqrt3

200

sqrt72

6sqrt2

300

2sqrt50

10sqrt2

400

sqrt6 (sqrt10)

2sqrt15

500

sqrt150(2sqrt16)

40sqrt6