Laws of Exponents

Simplify I

100

4^-2 =

1/16

200

851,982⁰ =

1

300

t^-8

1/(t⁸)

400

Solve for y

y = 1- 2^-1

y = 1/2

500

mn^-1

m/n

Power to a Power

100

(b³)⁶

b¹⁸

200

(6³)^2x

6^6x

300

(2/3)²

4/9

400

(x²/y)⁴

x⁸/y⁴

500

(abc³d)^m

a^mb^mc^3md^m

Multiply/Divide I

100

3¹²/3³ =

3⁹

200

(x⁹)(x^-7) =

x²

300

4x³ (2x³)

8x⁶

400

(x²y⁵)/(xy⁴)

xy

500

(x⁵y⁶z) / (xy²) =

x⁴y⁴z

Multiply/Divide II

100

x⁵(x⁷) =

x¹²

200

(x¹⁰)/(x²)

x⁸

300

(8x⁵)/(4x²) =

2x³

400

(x²y)(x³y⁴) =

x⁵y⁵

500

(-5x²⁰y⁵)³ (x)

-125x⁶¹y¹⁵

Miscellaneous

100

R^{0 =}

1

200

(6x⁷)/(2x⁴)

3x³

300

5²(x³)²=

25x⁶

400

(7a³b^-3)⁰+1 =

2

500

(2ab⁴)²(ab)⁵ =

2a⁷b¹³