Question

$\frac{4}{(216)} - \frac{2}{3} + \frac{1}{(256} \frac{ - 3}{4} + \frac{2}{(243)} \frac{ - 1}{5}$
Find the value of :-​

Answer 1

♡αηsωєя ♡࿐

4/(216) -(2/3) +/(256) -(256) -(3/4) +2/(243) -(1/5)

1/154-(2/3)+1/(256)-(3/4)+2/(243)-(1/5)

-4453/6912 = (3/4)+2/(243)-(1/5)

-9637/6912+2/(243)-(1/5)

-86221/62208+2/(243)-(1/5)

-493313/311040

hope it help uh!!✌࿐

☆Mehaku☆

Answer 2

Answer:

The given expression is

\frac{4}{(216)^{\frac{-2}{3}}}+\frac{1}{(256)^{\frac{-3}{4}}}+\frac{2}{(243)^{\frac{-1}{5}}}(216)3−24+(256)4−31+(243)5−12

Using exponent property:

x^{\frac{a}{b}}=(x^{\frac{1}{b}})^axba=(xb1)a

\frac{4}{6^{-2}}+\frac{1}{4^{-3}}+\frac{2}{3^{-1}}6−24+4−31+3−12

Using exponent property:

\frac{1}{a^{-1}}=aa−11=a

4\times 6^2+1\times 4^3+2\times 34×62+1×43+2×3

4\times 36+1\times 64+2\times 34×36+1×64+2×3

144+64+6144+64+6

214214

Therefore the value of given expression is 214.