Q:

Perform the following calculations without rewriting the numbers in decimal form.(1.42 × 10^−50)/(2 × 10^13)

Accepted Solution

A:
Answer:0.71×10⁻⁶³Step-by-step explanation:Here in this problem, the expression (1.42×10⁻⁵⁰) / (2×10¹³) is given and we have to calculate the result not rewriting the numbers in decimal form. Now, the given expression, (1.42×10⁻⁵⁰) / (2×10¹³) =[tex]\frac{1.42*10^{-50} }{2*10^{13} }[/tex] {All the terms are in product form, so we can rearrange this} =([tex]\frac{1.42}{2}[/tex])([tex]\frac{10^{-50} }{10^{13} }[/tex]) =(0.71)([tex]10^{-50-13}[/tex]) {We know the formula of indices [tex]\frac{x^{a} }{x^{b} }=x^{(a-b)}[/tex]} =0.71×10⁻⁶³ (Answer)