Exponent Laws

Product of Powers

100

C³ * C³

C⁶

200

x³ * x⁵ * x^-2

x ⁶

300

6x^-6*3x^-2

18x^-8 or 18/x⁸

400

7^-8 * 7⁶

7^-2  or 1/7²

500

6C^-7 * 2y⁴ *2C³

24C^-4y⁴  or 24y⁴/C⁴

Quotient of Powers

100

5³  / 5²

5¹ or 5

200

C⁷ /  C¹⁰

C ^-3 or 1/C³

300

3x⁵/x³

3x²

400

3⁷/3^-3

3¹⁰

500

x^-5y^-2/x^-1y⁴

x^-4y^-6  or  1/x⁴y⁶

Power of Powers

100

(c²)³

C⁶

200

(4^-1)^-3

4³

300

(3x³)²

9x⁶

400

[(x³)²]⁴

x²⁴

500

(3x^-1)^-3

x³/27

Negative Exponents

100

Write the following with a positive exponent

x^-6

1/x⁶

200

x⁰

1

300

Write the following with positive exponents

1/x^-3

x³

400

Write the following with a positive exponent.

1/ x^-10

x ¹⁰

500

Simplify and write with a positive exponent

(x^-3 / x^-5) * x^-4

x^-2 = 1/x²

Misc

100

Write  with positive exponents 

x^-3 * y^-2

1/x³y²

200

x^-2 * x⁵ / x^-2

x⁵

300

[(y⁶)^-2 ]^-1

y¹²

400

(5³ * 5^-2 )/ 5^-3 * 5³

5

500

(x^-4 * x¹² * x² * x^-1 * x^-3 )²

x¹²