Question

Solve : (256 a^16)^-3/4 / (81 b^4)^-3/4

Answer 1

Simplify:

Step-by-step explanation:

$\ Given \ value: \\\\ (256 a^16)^-3/4 / (81 b^4)^-3/4\\\\\ Solution: \\\\\frac{(256 a^{16})^{-\frac{3}{4}}} {(81 b^4)^(-\frac{3}{4})}\\\\\rightarrow \frac{(256^{-\frac{3}{4}}) (a^{16})^{-\frac{3}{4}}} {((81)^{-\frac{3}{4}}) (b^4)^(-\frac{3}{4}))}\\\\\rightarrow \frac{(4^4)^{-\frac{3}{4}}) (a^{16})^{-\frac{3}{4}}} {((3^4)^{-\frac{3}{4}}) (b^4)^(-\frac{3}{4}))}\\\\\rightarrow \frac{(4^{-3}) (a^{-4})} {(3^{-3}) (b^{-3})}\\\\\rightarrow \frac{3^{3}b^{3}} {4^{3}a^{4}}$

$\rightarrow \frac{27b^{3}} {64a^{4}}$

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