Math 7Acc Quiz Review - Laws of Exponents

Raising a Power to a Power

100

(x^8)^5

x^40

200

(2x)^4

16x^4

300

(x^-4)^-3

x¹²

400

(-2x^8)^2

4x^16

500

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

-64x^15y^9

Dividing with Common Bases

100

(3x^10)/(3x^10)

1

200

(15x^8)/(3x^2)

5x^6

300

(12x^9y^4)/(10x^7y^5)

(6x^2)/(5y)

400

(r^10y^-2z^-4)/(r^-5y^-1z^2)

(r^15)/(yz^6)

500

(144x^12y^9z^4)/(16x^14y^7z^7)

(9y^2)/(x^2z^3)

Products with Common Bases

100

x^3*x^7

x^10

200

(2x^6y^-8z^-4)(3x^-4y^10z^9)

6x^2y^2z^5

300

2x^4y^3z^-1*15x^-1y^-5z^-1

(30x^3)/(y^2z^2)

400

-8x^-10y^-14z^-8*5/4x^10y^12z^10

(-10z^2)/y^2

500

Simplify using Laws of Exponents:

3/7x^8y^4*14x^-12y^6*-1/6x^4y^-10

-1

Negative and Zero Exponents

100

(8xy³)⁰

1

200

5x^-3

5/x^3

300

x^-5/y^-7

y^7/x^5

400

(3/8y)^0*(2x^-5)^3

8/x^15

500

(2w^3*4w^2)/(24w^-15)

w^20/3

Combos

100

w^4*(w^2)^3

w^10

200

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

x^8

300

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

x^10

400

((x^6y^(-2))/(x^(-2)y^-4))^3

x^24y^6

500

(5^2a^2)/(5^2a^4)^-3

5^8a^14