Question

IS IT TRUE STATEMENT OR NOT..??
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Answer 1

$\:\: \underline{\underline{\bf{\large\mathfrak{~~solution~~}}}}$

$= \frac{(x {}^{ - 2p}y {}^{3q} ) {}^{6} }{(x {}^{3} y {}^{ - 1} ) {}^{ - 4p} } \\ = \frac{x {}^{ (- 2p)(6)}y {}^{(3q)(6)} }{x {}^{3 \times ( - 4p)} y {}^{ (- 1)( - 4p)} } \\ = \frac{x {}^{ - 12p} y {}^{18q} }{x {}^{ - 12p}y {}^{ 4p} } \\ = x {}^{ - 12p + 12p} y {}^{18q - 4p} \\ = x {}^{0} y {}^{18q - 4p} \\ =( 1)(y {}^{18q - \frac{9q}{2} \times 4 )} \\ = (1)y {}^{18q - 18q} \\ = y {}^{0} \\ = 1 \\ \\ therefore \: independent \: of \: x \: and \: y$