Question

(256/6561)^3/8 × (81/16)^3/4 if you dare solve this

Answer 1

the answer is 1. plzz mark brainliest

Answer 2

$Value \:of \: \Big( \frac{256}{6561}\Big)^{\frac{3}{8}} \times \Big( \frac{81}{16}\Big)^{\frac{3}{4}} \\= \Big( \frac{16^{2}}{81^{2}}\Big)^{\frac{3}{8}} \times \Big( \frac{81}{16}\Big)^{\frac{3}{4}} \\= </p><p>\Big(\big( \frac{16}{81}\big)^{2}\Big)^{\frac{3}{8}} \times \Big( \frac{81}{16}\Big)^{\frac{3}{4}} \\= \Big( \frac{16}{81}\Big)^{2 \times \frac{3}{8}} \times \Big( \frac{81}{16}\Big)^{\frac{3}{4}} \\= \Big( \frac{16}{81}\Big)^{\frac{3}{4}} \times \Big( \frac{81}{16}\Big)^{\frac{3}{4}} \\= \Big( \frac{16}{81} \times \frac{81}{16}\Big)^{\frac{3}{4}}\\= \Big(1\Big)^{\frac{3}{4}}\\= 1$

Therefore.,

$\red{Value \:of \: \Big( \frac{256}{6561}\Big)^{\frac{3}{8}} \times \Big( \frac{81}{16}\Big)^{\frac{3}{4}}}\green {= 1 }$

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