Exponent Properties

Product Rule

100

Simplify (x³) (x⁸)

x¹¹

200

Simplify (y⁴) (y⁷)

y¹¹

300

Simplify (-2)³ (-2)⁵

(-2)⁸

400

Simplify (2x²) (5x⁶)

10x⁸

500

Simplify (3x^-2y) (9x⁷y³)

27x⁵y⁴

Quotient Rule

100

Simplify x¹²/x³

x⁹

200

Simplify 6x¹⁴/2x¹⁰

3x⁴

300

Simplify 12x⁵y⁷/3x⁴y²

4x¹y⁵

400

Simplify x^-5y⁵/x^-7y¹

x²y⁴

500

Simplify 16x^-3y⁵/2x^-7y¹

8x⁴y⁴

Simplify/Solve

100

What is the base of (-4)³?

-4

200

Solve 5²

25

300

What is the base of -3²?

3

400

Solve (-2)³

-2*-2*-2 = -8

500

Solve -4²

-1*4*4 = -16

Power Rule

100

Simplify (x³)⁴

x¹²

200

Simplify (x⁵)⁷

x³⁵

300

Simplify (x²y³)⁵

x¹⁰y¹⁵

400

Simplify (2x²y⁵)³

2³x⁶y¹⁵ OR 8x⁶y¹⁵

500

Simplify (-3x⁶y)²

(-3)²x¹²y² OR 9x¹²y²

Negative Exponents

100

Write x^-3 using only positive exponents

1/x³

200

Write 3x^-2 using only positive exponents

3/x²

300

Write 4x^-5y^-3 using only positive exponents

4/x⁵y³

400

Write 32x⁵y^-3z^-2 using only positive exponents

32x⁵/y³z²

500

Write -16x^-1y³z^-7 using only positive exponents

-16y³/x¹z⁷