Question

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5. By what number should (-15) -1 be divided so that the quotient becomes (-5) -1? ​

Answer 1

Answer:

the answer is 1/3

(-15)^-1 should be divided by 1/3 so that the quotient becomes (-5)^-1

Answer 2

Answer:-

★Let the Required number be ϰ Then,

$⇒( - 15 {)}^{ - 1} \div x = ( - 5 {)}^{ - 5}$

$⇒ \frac{( - 15 {)}^{ - 1} }{x} = ( - 5 {)}^{ - 1}$

$⇒x = \frac{( - 15 {)}^{ - 1} }{( - 5 {)}^{ - 1} } = ( - 15 {)}^{ - 1} \div ( - 5 {)}^{ - 1}$

$⇒x = \frac{1}{( - 15)} \div \frac{1}{ (- 15)} = \frac{1}{ - 15} \times \frac{( - 5)}{1} = \frac{1 \times ( - 5)}{( - 15) \times 1} = \frac{ - 5}{ - 15} = \frac{5}{ 15} = \frac{1}{3}$

$⇒x = {3}^{ - 1}$

Hence,

$\sf \colorbox{god} {The Required number is } x = {3}^{ - 1}$

$\\ \\ \\ \\ \sf \colorbox{lightgreen} {\red★ANSWER ᵇʸɴᴀᴡᴀʙ⌨}$