Question

6. Solve (5.87 x 10^7)(4.200 x 10^11). Be

sure your answer is in scientific notation.
Round to two decimal places.

Answer 1

Step-by-step explanation:

We need to solve

Firstly, multiplying 5.87 and 4.2 = 24.654

Now taking exponent of 10.

We know that :

It means,

So,

In scientific notation,

Hence, the value of is

Answer 2

Step-by-step explanation:

We need to solve
`(5.87* 10^7)(4.2* 10^(11))`

Firstly, multiplying 5.87 and 4.2 = 24.654

Now taking exponent of 10.

We know that :
`x^a{\cdot} x^b=x^(a+b)`

It means,
`10^7{\cdot} 10^(11)=10^(11+7)=10^(18)`

So,

`(5.87* 10^7)(4.2* 10^(11))=24.654* 10^(18)`

In scientific notation,

`(5.87* 10^7)(4.2* 10^(11))=2.4654* 10^(19)`

Hence, the value of
`(5.87* 10^7)(4.2* 10^(11))` is
`2.4654* 10^(19)`