Indices Review

Multiplying Indices

100

a^-3 x a²

a^-1

200

2⁵ x 2⁵ x 2^-3

2⁷

300

7e³ x 5e²

35e⁵

400

5m²n¹² x 3m³n⁶ x 2mn²

30 m⁶ n²⁰

500

(25x² y³ × 6x⁵ y⁵ z) ÷ 50x⁷yz⁰

3y⁷z

Dividing Indices

100

(3a^5)/(15a^2)

a^3/5

200

28h¹⁰ ÷ 7h⁵

4h⁵

300

(16a^6b^3)/(2ab^2)

8a⁵b

400

d^11/(d^-2)

d^13

500

10g⁷h⁶ ÷ 2g³h^-4

^5g4h10

Indices with powers

100

(h³)²

h⁶

200

(2m⁶)⁴

16m²⁴

300

(h³)⁵ x (v^-4h^-3)²

h⁹v^-8

400

(3m^-3n⁵)^x

3^xm^-3xn^5x

500

2a^3(4ab^4)^3

128a⁶b¹²

Harder Indices

100

2(x⁵y³)⁰

2

200

(2p^2)^4 \times (3p^2q)^(-2)

(16p^4)/(9q^2)

300

(4/5)^(-x)

(5^x/4^x)

400

((4^(-2))^3)/(4^(-4))

1/16

500

Find x:

(2/5)^(3x−5)=25/4

x=1

Scientific Notation

100

Write this as a basic numeral:

8.213 x 10³

8213

200

Write this as a basic numeral:

-3.4 x 10^-4

-0.00034

300

Write in scientific notation:

-0.000042 x -2

8.4 x 10⁵

400

Write in scientific notation:

(2.83 × 10)^-3

^{(HINT: use your calculator)}

4.41 × 10^-8

500

(240 × 10^-4) ÷ (3 × 10^-2)

2/25