Laws of Exponents - Algebra

Product/Quotient of Powers

100

(x⁵)(x¹⁰)

x¹⁵

200

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

What is

(x^5y^2)/2

300

Keeping your answer in positive exponents, simplify:

3x^-2y^6*7xy^-2

(21y^4)/x

400

(8x^-4y^-6)(-5x¹⁰y^-3)

What is (-40x⁶)/y⁹

500

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

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

Power to a Power

100

(2x⁸)⁵

 32x⁴⁰

200

Simplify and write your answers with positive exponents.

(3/x^4)^-2

(x^8/9)

300

(4x^-3y⁴)^-2

What is

x^6/ (16y^8)

400

Simplify and write your answers with positive exponents.

((3x^-3)^2)/(6x)

(3)/(2x^7)

500

Simplify and final answers should use positive exponents.

(-3x^-2y⁴z^-7)³

-27y¹²/x⁶z²¹

Mixed Goodies

100

Simplify and write your answers with positive exponents.

(14x⁷ y⁸)

/

 (56x^-5 y¹¹)

^x12/4y3

200

Keeping your answer in positive exponents, simplify:

(3x^3)/y^-6

3x^(3)y^(6)

300

Keeping your answer in positive exponents, simplify:

(5x^4y^5)/(25y^7x^4)

(y^2)/5

400

Simplify and write your answers with positive exponents.

(-4a^7b^-3)^3

((-64a^21)/b^3)

500

Simplify and write your answers with positive exponents.

(a^3bc^-5)((a^8b^0)/(a^2c))^-2

(b/(a^9c^3))