Question

Work out ( 7 × 10 ^−6 ) × ( 8 × 10 ^8 ) Give your answer in standard form.

Answer 1

`5.6 * 10^3`

Explanation:

`( 7 * 10^(-6) ) * ( 8 * 10^(8) )`

`7 * 8 * 10^(-6) * 10^(8)`

`7* \:8* 10^(-6+8)`

`7* \:8* \:10^2`

`56 * 10^2`

`56* 100`

`=5600`

`=5.6 * 10^3`

Answer 2

5600 OR 5.6 × 10³

Explanation:

=>
`(7*10^(-6)) * (8 * 10^ 8)`

Let's write the constants separately and the powers too !

=>
`(7*8)*(10^(-6)*10^8)`

When bases are same, powers are to be added

=> 56 ×
`10^(-6+8)`

=> 56 × 10²

=> 5600