Question

Perform the following calculations without rewriting the numbers in decimal form.

(1.42 × 10^−50)/(2 × 10^13)

Answer 1

0.71×10⁻⁶³

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)

=
`(1.42*10^(-50) )/(2*10^(13) )` {All the terms are in product form, so we can rearrange this}

=(
`(1.42)/(2)`)(
`(10^(-50) )/(10^(13) )`)

=(0.71)(
`10^(-50-13)`) {We know the formula of indices
`(x^(a) )/(x^(b) )=x^((a-b))`}

=0.71×10⁻⁶³ (Answer)