Question

by what number should (-5)^-1 be multiplied to get (-15)^-1​

Answer 1

Answer:

here is your answer,

(-5)^-1 = -5

(-15)^-1 =-15

so,

-5×__=-15

answer is 3

Step-by-step explanation:

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Answer 2

Answer:

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Step-by-step explanation:

it is given that the product of 2 numbers is $( - 15) {}^{( - 1)} = \frac{1}{ - 15}$

Also given that one number is $( - 5) {}^{( - 1)} = \frac{1}{ - 5}$

let the other number be x

So,

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

Therefore, $3 {}^{( - 1)}$ should be multiplied by ${( - 5)}^{( - 1)}$ to get ${( - 15)}^{( - 1)}$