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ICSE Class 9 Answered

Question 2
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Asked by reena.biswal123 | 28 Nov, 2021, 06:36: PM
answered-by-expert Expert Answer
Your query is
left parenthesis cube root of 4 right parenthesis to the power of left parenthesis 2 x space minus space 1 half right parenthesis end exponent space equals space 1 over 8
left parenthesis cube root of 2 squared end root right parenthesis to the power of left parenthesis 2 x space minus space 1 half right parenthesis end exponent space equals space 1 over 8
left parenthesis 2 to the power of 2 over 3 end exponent right parenthesis to the power of left parenthesis 2 x space minus space 1 half right parenthesis end exponent space equals space 1 over 2 cubed
2 to the power of 2 over 3 end exponent to the power of left parenthesis 2 x space minus space 1 half right parenthesis end exponent space equals space 2 to the power of left parenthesis negative 3 right parenthesis end exponent
Comparing space exponents space as space bases space are space same
2 over 3 left parenthesis 2 straight x minus 1 half right parenthesis equals left parenthesis negative 3 right parenthesis
fraction numerator 4 straight x minus 1 over denominator 3 end fraction equals negative 3
4 straight x minus 1 equals negative 9
4 straight x equals negative 9 plus 1
4 straight x equals negative 8
straight x equals negative 2
Answered by | 29 Nov, 2021, 12:34: PM
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