Exponent Rules

Product

100

Simplify x³y⁵(x¹y⁴)

x⁴y⁹

200

Simplify z⁶c⁹(z⁴c^-2)

z¹⁰c⁷

300

Simplify x¹⁰(x¹³)(x^-8)

x¹⁵

400

Simplify t³x⁵(x^-3)

t³x²

500

Simplify y²(y^-2)

1

Quotient

100

Simplify x³/x¹

x²

200

Simplify (z⁵y²)/(z³y¹)

z²y

300

Simplify (y⁵x²)/(y⁷)

x²/y²

400

Simplify (x¹⁰y²)/(x³y^-1)

x⁷y³

500

Simplify (z⁵x²)/(z³⁰x¹²)

1/(z²⁵x¹⁰)

Mixed

100

Simplify (10z⁵y²)/(5zy)

2z⁴y

200

Simplify (3x⁵y)(10x³y¹)

30x⁸y²

300

Simplify (9x¹⁰z²)(2x³z¹)

18x¹³z³

400

Simplify (30zy^-2)/(2z^-3y¹)

15z⁴/y³

500

Simplify (9z^-2y^-1)/(z³y¹)

9/z⁵y²

Negative Power

100

Simplify (z^-5y^-2)/(z³y^-1)

1/z⁸y

200

Simplify (xc^-2)/(x³c^-1)

1/x²c

300

Simplify (x⁶y²)/(x^-3y^-1)

x⁹y³

400

Simplify (z^-5y^-12)/(z^-30y¹)

z²⁵/y¹³

500

Simplify (z^-5y²)/(z⁴y^-1)

y³/z⁹

Power

100

Simplify (z³x)²

z⁶x²

200

Simplify (y⁵xc³)⁴

y²⁰x⁴c¹²

300

Simplify (b³t)⁹

b²⁷t⁹

400

Simplify (z²x^-2)²⁰

z⁴⁰/x⁴⁰

500

Simplify (x³x^-3)²

1