The Laws Of Exponent Activity

Product Rule

100

Simplify the expression below.

(x⁵)(x³)=

x⁸

200

Simplify the expression.

(w⁴)(w^-3)=

w¹

300

Simplify. Evaluate if necessary.

(3²)(3)=

27

400

(2x³)(6x⁸)

12x¹¹

500

(-2x³)(6x⁹)(-7x^-8)

84x⁴

Quotient Rule

100

a⁸/a³

a⁵

200

a^-1/a^-7

a⁶

300

8⁷/8

262144

400

64x⁸/4x^-5

16x¹³

500

12g⁸h⁴/g³h³

12g⁵h

Negative Exponent

100

x^-5

1/x⁵

200

x^-m

1/x^m

300

4^-3

1/64

400

a¹²b^-4/c^-8

a¹²c⁸/b⁴

500

(x^-8/y¹¹)^-2

x¹⁶y²²

Power of Power

100

(p²)⁵

p¹⁰

200

Simplify and evaluate.

(5²)³

3125

300

Simplify.

(2x²)³

8x⁶

400

(-3²x⁶)⁵

-59049x³⁰

500

[(3x²)/(2y²)]⁵

243x¹⁰/32y¹⁰

Zero Exponent

100

x⁰

1

200

-p⁰

-1

300

-6w⁰

-6

400

(2⁵)(2^-3)(2^-2)

1

500

(4c^-5/8d⁰)³

65/512c¹⁵