Maths / Exponents and Power / Statement Sums Involving Exponent and Power

QUESTION
 

By what number should large (-24)^{-1} be divided so that the quotient may be large 3^{-1} ?

EXPLANATION
Explain TypeExplanation Content
Text

Let the required number be x. Then ,

large (-24)^{-1} div x=3^{-1}

frac{(-24)}{x}=3^{-1}

frac{frac{1}{-24}}{x}=frac{1}{3}

Rightarrowfrac{frac{1}{-24}}{x}=frac{1}{3}Rightarrow 3=-24xRightarrow x= frac{3}{-24}Rightarrow x= frac{3}{-24}=-frac{1}{8}

Aliter, We know that

Dividend = Quotient times Divisor

or, Divisor = Divident div Quotient

Here, Dividend = (-24)^{-1} and Quotient = 3^{-1}

Therefore, Divisor = (-24)^{-1} div 3^{-1}=begin{pmatrix}frac{1}{-24} end{pmatrix} ndiv begin{pmatrix}frac{1}{3}end{pmatrix}=frac{1}{-24}times frac{3}{1}=frac{1}{-8}=(-8)^{-1}

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