Question

Which shows the expressionbelow simplified. (8×10‐⁴)×0.08

Answer 1

`(8 * 10^(-4)) * 0.08` =
`64 * 10^(-6)` =
`(64)/(10^6)` =
`(64)/(1000000)` =
`0.000064`

Explanation:

Given

`(8 * 10^(-4)) * 0.08`

Required

Simplify

`(8 * 10^(-4)) * 0.08`

Express 0.08 as standard form

`(8 * 10^(-4)) * 8 * 10^(-2)`

Remove bracket

`8 * 10^(-4) * 8 * 10^(-2)`

Apply commutative property:

`8* 8 * 10^(-4) * 10^(-2)`

`64 * 10^(-4) * 10^(-2)`

Apply law of indices

`64 * 10^(-4-2)`

`64 * 10^(-6)`

Solving further: Express
`10^(-6)` as fraction by applying law of indices

`64 * (1)/(10^6)`

`(64)/(10^6)`

`10^6 = 1000000`

So, we have:

`(64)/(1000000)`

Lastly:

`0.000064`

Hence:

`(8 * 10^(-4)) * 0.08` =
`64 * 10^(-6)` =
`(64)/(10^6)` =
`(64)/(1000000)` =
`0.000064`