Exponents

Product of Powers

100

x⁵ ⋅ x³

x⁸

200

x ⋅  x³

x⁴

300

x⁴y³ ⋅  x²y

x⁶y⁴

400

2x² ⋅  2x⁷

4x⁹

500

2y^{2 ⋅}  3x

6xy²

Quotient of powers

100

   x⁴
_____

   x²

x²

200

   x⁵
_____

   x

x⁴

300

   x⁴
_____

   2x³

  x
___
  2

400

x³y^8
______
xy⁵

x²y³

500

x¹⁰y¹⁵z⁵
_______

x⁵y¹⁰

x⁵y⁵z⁵

Power of Powers

100

(x⁵)²

x¹⁰

200

(x⁵)⁶

x³⁰

300

(x²y³)⁴

x⁸y¹²

400

(2x²)³

8x⁶ OR 2³x⁶

500

(xyz)³

x³y³z³

Negative Exponents

100

Write without any negative exponents.

x^-2

  1
____
   x²

200

Write without any negative exponents.

x^-2 y^-3

  1
____
  x²y³

300

write without any negative exponents & Simplify

x^-3
____

x^-4

x