Laws of Exponents Review

Product of Powers

100

10² * 10³

10⁵

200

10² * 10³⁰

10³²

300

2¹⁰ * 2³⁰

2⁴⁰

400

3.14¹³ * 3.14²

3.14¹⁵

500

X^A * X^B

X^A+B

Power of Powers

100

(10²)³

10⁶

200

(10²)³⁰

10⁶⁰

300

(2¹⁰)³⁰

2³⁰⁰

400

(3.14¹)²⁰

3.14²⁰

500

(X^A)^B

X^A*B

Quotient of Powers

100

10⁴ / 10²

10²

200

10³⁰ / 10³

10²⁷

300

2³⁰ / 2¹⁰

2²⁰

400

3.14¹⁵ / 3.14¹⁵  

3.14⁰

500

X^A / X^B

X^A-B

Negative Power & Power of Zero

100

10⁰

1

200

10^{5 *} 10^-5

10⁰ or 1

300

2^-6

1/2⁶

400

(3.14²)^-5

(3.14)^-10 or 1/3.14¹⁰

500

X^-A

1/X^A

Value of Powers & Power of a Product

100

2²

4

200

10²

100

300

2² * 10²

20²

400

3.14¹⁵ * 2¹⁵

6.28¹⁵

500

A^X * B^X 

 (AB)^X