Question

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

Answer 1

Heya dear user !!!

Here is your answer,

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$\frac{4}{ {(216)}^{ \frac{ - 2}{3} } } \: \: + \: \frac{1}{ {(256)}^{ \frac{ - 3}{4} } } \: + \: \frac{2}{ {(243)}^{ \frac{ - 1}{5} } } \\ \\ \\ 4 \times {(216)}^{ \frac{2}{3} } + 1 \times {(256)}^{ \frac{3}{4} } + 2 \times {(243)}^{ \frac{1}{5} } \\ \\ \\ 4 \times {6}^{3 \times \frac{2}{3} } + {4}^{4 \times \frac{3}{4} } + 2 \times {3}^{5 \times \frac{1}{5} } \\ \\ \\ 4 \times {6}^{2} + {4}^{3} + 6 \\ \\ \\ 4 \times 36 + 64 + 6 \\ \\ \\ 214$


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Hope it helps.

Answer 2

Answer:

The value of given expression is 214.

Step-by-step explanation:

The given expression is

$\frac{4}{(216)^{\frac{-2}{3}}}+\frac{1}{(256)^{\frac{-3}{4}}}+\frac{2}{(243)^{\frac{-1}{5}}}$

Using exponent property:

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

$\frac{4}{6^{-2}}+\frac{1}{4^{-3}}+\frac{2}{3^{-1}}$

Using exponent property:

$\frac{1}{a^{-1}}=a$

$4\times 6^2+1\times 4^3+2\times 3$

$4\times 36+1\times 64+2\times 3$

$144+64+6$

$214$

Therefore the value of given expression is 214.