Question

By what number should (-16)-¹ be divided to give the questient as (-4)-¹​

Answer 1

answer

-4

Step-by-step explanation:

dividend=divisor × quotient + remainder

let no. be x

so,

(-16)-^1 = x × (-4)-^1 + 0

(-16)-^1 ÷ (-4)-^1 = x

x = -4

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Answer 2

Answer:

${(4)}^{ - 1} \: is \: the \: answer$

Step-by-step explanation:

Divident ÷ Divisor = Quotient

Here,

$Divident = {( - 16)}^{ - 1}$

and

$Quotient = {( - 4)}^{ - 1}$

Solving the question ,

${( - 16)}^{ - 1} \div divisor = {( - 4)}^{ - 1}$

$- \frac{1}{16} \div \: divisor = - \frac{1}{4}$

$- \frac{1}{16} \times \frac{1}{divisor} = - \frac{1}{4}$

reciprocate all values ,

$- 16 \times divisor = - 4$

$divisor \: = \frac{ - 4}{ - 16}$

$divisor \: = \frac{1}{4}$

or

$divisor \: = {(4)}^{ - 1}$