Year 10 Methods A Indices

Index laws

100

Simplify 

-8a^3b^x\times2a^2b^3

-16a^5b^(x+3)

200

Simplify 

(3/7)^-2

49/9

300

Simplify

2^(-1)+ 1/3^(-2)

19/2

400

Simplify 

((-2x^3)^2 x^-1)/(10(xy^3 )^7)

2/(5x^2y^21)

500

Simplify 

(3^x×9^(2x+1))/27^(1-x) 

3^(8x-1)

Rational indices

100

Evaluate

36^(3/2)

216

200

Write

∛121

as a prime in index form

11^(2/3)

300

Simplify

(8xy^2)^(2/3)

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

400

Write 

1/(125∜5)

as a prime in index form

5^(-13/4)

500

Write

13^s/169^(3s-1)

as a prime in index form

13^(-5s+2)

Scientific notation

100

Convert

1.23\times10^-3

 to an ordinary decimal number.

0.00123

200

Convert 3675000 to scientific notation. Round your answer to 3 significant figures.

3.68\times10^6

300

Simplify 

(3\times10^4)\times(7\times10^-2)

2.1\times10^3

400

Simplify 

(2\times10^3)^-2

2.5\times10^-7

500

Simplify 

(6×10^(-3))^2/(3×10^(-2) )

1.2\times10^-3