Question

evaluate (81)-¹×3-⁵×3⁹×(64)⅚×(³√³)⁶

Answer 1

$(81)^{-1} \times (3)^{-5} \times 3^{9} \times (64)^{\frac{5}{6}} \times \Big( \sqrt[3] {3}\Big)^{6}$

$= (3^{4})^{-1} \times (3)^{-5} \times 3^{9} \times (2^{6})^{\frac{5}{6}} \times (3)^{\frac{6}{3}}$

$= 3^{-4} \times (3)^{-5} \times 3^{9} \times (2)^{6 \times \frac{5}{6}} \times 3^{2}$

$= 3^{-4} \times (3)^{-5} \times 3^{9} \times 2^{5} \times 3^{2}$

$= 3^{-4-5+9+2} \times 2^{5}$

/* By Exponential Law */

$\boxed {\pink{ a^{m} \times a^{n} = a^{ m + n }}}$

$= 3^{2} \times 2^{5}$

$= 9 \times 32$

$= 288$

Therefore.

$\red{(81)^{-1} \times (3)^{-5} \times 3^{9} \times (64)^{\frac{5}{6}} \times \Big( \sqrt[3] {3}\Big)^{6}}$

$\green {= 288}$

•••♪

Answer 2

Step-by-step explanation:

pehle ka to answer de deti pagal ourat