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Asked by ushmaush | 14 Jan, 2023, 12:20: PM
answered-by-expert Expert Answer
Q: BY what number should (-12)-1 be divided so that the quotient may be (2/3)-1 ?
Solution:
Let (-12)-1 be divided by x to get the required quotient
rightwards double arrow left parenthesis negative 12 right parenthesis to the power of negative 1 end exponent over straight x equals open parentheses negative 2 over 3 close parentheses to the power of negative 1 end exponent
rightwards double arrow left parenthesis negative 12 right parenthesis to the power of negative 1 end exponent over straight x equals negative 3 over 2
rightwards double arrow straight x equals fraction numerator left parenthesis negative 12 right parenthesis to the power of negative 1 end exponent over denominator negative begin display style 3 over 2 end style end fraction
rightwards double arrow straight x equals negative 2 over 3 cross times open parentheses negative 12 close parentheses to the power of negative 1 end exponent
rightwards double arrow straight x equals negative 2 over 3 cross times fraction numerator 1 over denominator negative 12 end fraction
rightwards double arrow straight x equals 1 over 18
Hence comma space the space number space must space be space divide space by space 1 over 18.
Answered by Renu Varma | 16 Jan, 2023, 11:50: AM
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