Index Laws
a5 x a3 x a2
a10
6.32 x 108 as an ordinary number
632 000 000
4.2 x 104 x 3 x 102
1.26 x 107
Determine, using index laws, how many seconds it takes for light to travel from the Sun to Earth given that Earth is 1.5 × 108 km from the Sun and the speed of light is 3 × 105 km / s
500 seconds
A semi conductor company advertises that its new computer uses a 2 nm manufacturing processing chip.
Note that 1 nm = 10-9 metres0.000000002 metres
a9 / (a2 x a3)
a4
4.2 x 10-3 as an ordinary number
0.0042
6.3 x 102 / 3 x 10-2
2.1 x 104
The mass of Earth is approximately 6 000 000 000 000 000 000 000 000 kg . Given that the mass of the Sun is 330 000 times the mass of Earth, find the mass of the Sun. Express your answer using scientific notation
1.98 x 1030
a3 = -125
a = -5
(a3)2 x a2 / a4
a4
987 000 in scientific notation
9.87 x 105
3.5 x 103 x 2 x 10-4 x 2 x 108
1.4 x 108
The Australian $2 coin has a mass of 6.5g and a thickness of 2.5 x 10-1 cm.
Billy stacks a pile of $2 coins until the total height of the coin stack is 31.75cm
How many coins were in the stack?
127
(322/5)3 = 2a
a = 6
(4a-2b3c)2 x 3(a2b)3 / 12a2c
4b9c
0.0000736 in scientific notation
7.36 x 10-5
(3.2 x 103 + 1.2 x 104) x 2 x 103
3.04 x 107
4x + 4x + 4x + 4x = 256
x = 3
2x-1 = 16
solve for 'x'
x = 5
987 300 in scientific notation to 3 significant figures
9.87 x 105
2.65 x 103 x 2.9 x 105
7.685 x 108
The Australian $2 coin has a mass of 6.5g and a thickness of 2.5 x 10-1 cm.
Billy stacks a pile of $2 coins until the total height of the coin stack is 31.75cm
If there were 127 coins in the stack. If Billy removes 15 of these coins, what would be the new height in cm's?
28 cm
22x + 22x+1 + 22x+2 = 112
x = 2