Index Laws

Multiplication

100

x⁴ × x³

x⁷

200

y³ × y³ × y²

y⁸

300

x¹² × y¹⁰ × x³

x¹⁵×y¹⁰

400

z¹⁰ × z^-4 × z⁶ × s³

s³ × z¹²

500

5a²b⁷ × 9a⁴b²

45a⁶b⁹

Division

100

x⁵ ÷ x²

x³

200

p⁹ / p³

p⁶

300

r⁶s⁴ / s²r²

r⁴s²

400

75a²b⁴c³ / 15abc

4ab³c²

500

3a⁴b⁵ / a⁵b² ÷ 6b³ / 2a²b

ab

Brackets

100

(t²)⁴

t⁸

200

(5c²d³)³

125c⁶d⁹

300

Simplify (((2³)⁴)²)

2²⁴

400

(x⁴ / y³)⁵

x²⁰ / y¹⁵

500

True or False:

(-4/x)⁴ = -(4/x)4

False

The Power of 0

100

100⁰

1

200

100⁰ - 200⁰

0

300

4s⁰

4

400

-(3⁴x⁴y⁹z⁸)⁰

-1

500

(4x²)⁰ + 16x⁰ × 2(x⁰)³

33

Don't Be So Negative

100

2^-1

1/2

200

(x/y)^-1

y/x

300

4a^-3b²

4b²/a³

400

Evaluate:

3^-4

1/81

500

Evaluate:

1/8^-2 + 1/2^-4

80