Math, asked by vvv1081, 1 year ago

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Answered by Anonymous
2

HEYA \:  \\  \\ GIVEN \:  \: QUESTION \:  \: Is \:  \:  \\  \\ a = b {}^{2x}  \:  \:  \:  \:  \:  \: b = c {}^{2y}  \:  \:  \:  \:  \: c = a {}^{2z}  \\  \\ a \:  = b {}^{2x} ...Equation \:  \:  \:  \: i \:  \\  \\ a = c {}^{ \frac{1}{2z} }  \:  \: ...Equation \:  \:  \:  \: ii \\  \\ c = b {}^{ \frac{1}{2y} }   \:  \:  \: ...Equation \:   \: iii \\  \\ from \: Equation \:  \: i \: and \: ii \: we \: have \:  \:  \\  \\ c {}^{ \frac{1}{2z} }  = b {}^{2x}  \\  \\ c = b {}^{2x \times  \frac{2z}{1} }  \\  \\ c = b {}^{4xz}  \\  \\ b{}^{ \frac{1}{2y} }  = b {}^{4xz}   \:  \:  \: from \:  \: equation \:  \:  \:  \: iii \\  \\ now \: compare \: powers \: of \: b \: we \: have \\  \\  \frac{1}{2y}  = 4xz \\  \\ 8xyz = 1 \\  \\ xyz =  \frac{1}{8}  \\  \\ NOTE \:  \:  \:  \:  \:  \:  \\  \\ if \:  \:  \:  \: y = m {}^{n}  \:  \:  \:  \: then \:  \:  \:  \: m = y {}^{ \frac{1}{n} }

Answered by Azmahalomaric22
0

Answer:

Step-by-step explanation: y 1/n

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