Express the answer to 4.31x10^7 multiplied by 5.41x10^5 scientific notation.

The product of the two numbers is 2.33* 10^13

Explanation:

Given

4.31x10⁷ and 5.41x10⁵

Required

Multiply

The multiplication of the two digits is represented as thus:

This can also be rewritten as

Multiply 4.31 and 5.41

Apply laws of indices

The scientific notation is always in the form:

Where

So:

23.3171 can be rewritten as 2.33171 * 10

So, we have:

Also, apply law of indices again

It's always advisable (but not compulsory to approximate to 1 or 2 decimal places)

So:

Hence; the product of the two numbers is 2.33* 10^13

the entire statement is true and correct.  

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