Perform the following calculations without rewriting the numbers in decimal form

(6 * 10^11) (2.5 * 10^-5)

15*10⁶

Step-by-step explanation:

We are given the following expression (6*10¹¹) (2.5*10⁻⁵).

It is asked in the question that to calculate the above expression provided we can not write the numbers in decimal form.

Now, the given expression

(6*10¹¹) (2.5*10⁻⁵)

{Since all the numbers in the above are in product form so we can rearrange the terms}

= (6*2.5) (10¹¹*10⁻⁵)

= 15*10⁽¹¹⁻⁵⁾

{Since we know the property of exponent that xᵃ. xᵇ = x⁽ᵃ⁺ᵇ⁾ }

=15*10⁶ (Answer)