Laws of Exponents

X

100

(x⁴)(x²)

x⁶

200

(4x⁴)(3x⁶)

12x¹⁰

300

(4x³y²)(2xy³)

8x⁴y⁵

400

(-5x⁴y⁶z²)(-3xy)

15x⁵y⁷z²

500

(-12x⁴y²z)(-xyz⁵)

12x⁵y³z⁶

÷

100

x⁶ / x²

x⁴

200

x⁶ / x¹⁰

1/x⁴

300

15x⁴ / 3x³

5x

400

20x³y² / 30xy⁵

2x² / 3y³

500

-9xyz / 12x²y²

-3z / 4xy

Power

100

(x⁵)³

x¹⁵

200

(2x²)³

8x⁶

300

(3x⁴yz³)²

9x⁸y²z⁶

400

[(3x³)²]²

81x¹²

500

(-4xyz³)⁴

256x⁴y⁴z¹²

-exp.

100

1/x^-5

x⁵

200

12x^-2 / y

12 / x²y

300

12x^-3y⁴ / 3z^-2

4z²y⁴ / x³

400

(-2)^-3

1 / (-2)³ = -1/8

500

(3xy²)^-1(2xy)

2xy / 3xy² = 2/y

Life Saver

100

Find the area of a triangle that has a base of 10x²y⁵ and a height of 5x⁴y²z

Area= 25x⁶y⁷z

500

Find the perimeter of a rectangle with length= 2x+5 and a width= 3x+12

P= 2(2x+5) + 2(3x+12)

P=10x+34