EXPONENTS Year 8

Exponent multiplication and division

100

a² x a³

a⁵

200

b⁵/b⁴

b

300

2c³ x 5c⁴

10c⁷

400

5d³ x 3b²

15b²d³

500

25a²bc⁷/5abc¹⁵

5a/c⁸ or 5ac^-8

Exponents in brackets

100

(a²)³

a⁶

200

(2g³)²

4g⁶

300

(2/3a)³

8/27a³

400

modify to remove the negative exponent

(5a³c⁴)^-3

1/125a⁹c¹² or 1/5³a⁹c¹²

500

5(2ad²)⁴

80a⁴d⁸

zero exponent

100

h⁰

1

200

a⁰b

b

300

(a²bc³d)⁰

1

400

17a⁰

17

500

3abc x (ab²)⁰

3abc

negative exponents

100

a^-1

1/a

200

modify to remove the negative exponent

1/z^-1

z

300

modify to remove the negative exponent

a^-2/s²

1/a²s²

400

modify to remove the negative exponent

a^-3b/b³c

1/a³b²c

500

modify to remove the negative exponent

6x²y³/3x^-5z^-2

2x⁷y³z²

Prime factorisation

100

What is the prime factorisation of 15

3 x 5

200

What is the prime factorisation of 24

2³ x 3

300

What is the prime factorisation of 180

2² x 3² x 5

400

What is the prime factorisation of 400

2⁴ x 5²

500

What is the prime factorisation of 135

3³ x 5