Q:

Perform the following calculations without rewriting the numbers in decimal form(6 × 10^11)(2.5 × 10^−5)

Accepted Solution

A:
Answer: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)