Question

Perform the following calculations without rewriting the numbers in decimal form

(6 × 10^11)(2.5 × 10^−5)

Answer 1

15×10⁶

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)