Exponents

Multiplication

100

f² x f⁴

f⁶

200

u⁷ x u⁹

u¹⁶

300

k^-1 x k⁰

k^-1

400

y^-9 x y^-9

y^-18

500

f^-8 x f¹⁵

f⁷

Division

100

c³/c²

c¹

200

x^-8/x^-5

1/x³

300

z⁴/z⁷

1/z³

400

h⁸/h^-2

h¹⁰

500

v^-7/v^-5

1/v²

Power rule

100

(x⁵)⁷

x³⁵

200

(y⁷)⁸

y⁵⁶

300

(s⁹)⁴

s³⁶

400

(n^-5)^-5

n²⁵

500

(b^-9)^-5

b⁴⁵

Exponential expressions using power rule

100

(6r⁶)³

216r¹⁸

200

(4z⁸)⁷

16384z⁵⁶

300

(8v³)⁵

32768v¹⁵

400

(14h¹⁰)³

2744h³⁰

500

(7u¹²)⁷

823543u⁸⁴

Common mistakes

100

z⁴ x z⁸ = z³²

^{what is wrong with the problem}

multiplied exponents 

200

(8v⁴)⁶ = 56v²⁴

what is wrong with the problem

8 x 6

300

(s⁶)³ = a⁹

what is wrong with the problem

wrong base and added exponents

400

f⁹/f³ = f³

what is wrong with the problem

divided exponents