Indices Review

Multiplying Indices

100

a³ x a²

a⁵

200

2⁵ x 2⁵ x 2^-3

2⁷

300

2e³ x 5e²

10e⁵

400

5m²n¹² x 3m³n⁶ x 2mn²

30 m⁶ n²⁰

500

(25x² y³× 5x³y⁵z) ÷ 55x⁷y

25y⁷z/11x²

Dividing Indices

100

d^11/(d^2)

d⁹

200

28h¹⁰ ÷ 7h⁵

4h⁵

300

16a⁶b³ ÷ 2ab²

8a⁵b

400

10g⁷h⁶ ÷ 2g³h⁴

5g⁴h²

500

(26m^5n^3)/(8m^2 n^5 )

(13m^3)/(4n^2 )

Indices with powers

100

(h³)²

h⁶

200

(2m⁶)⁴

16m²⁴

300

(h³)⁵ 

h¹⁵

400

(3m³n⁵)³

27m⁹n¹⁵

500

2a³(4ab⁴)³

128a⁶b¹²

Harder Indices

100

a⁶ x b² x a³ x b⁴

a⁹b⁶

200

(2x⁵y³)⁰

1

300

(25x^4×4x^2)/(5x^8) 

20/(x^2)

400

(2x)³ x (3x)²

72x^5

500

(4x^4*(2x^3)^2)/(3x^2)^3

(64x^4)/27

Even harder indices

100

Estimate the following: 

q × q × p × p × q

p² x q³

200

Evaluate the following: 

3³× 3² × 5

1215

300

Find the area of the shape described below: 

All sides on this shape are equal, each side's length being 5a³b. What is the shape and it's area? 

Explain how you got your answer.

Formula= s x s or a²

(5a³b)²

Ans. The square's area is 25a⁶b²

400

a²b³c/a²bc²

b²/c

500

Find x  if     4^x = 64

x = 3