Question

evaluate 4/(2187)^-3/7 - 5/(256)^-1/4 + 2/ (1331^2)^ -1/3

Answer 1

solution

4/(2187)∧-3/7-5/(256)∧-1/4+2/(1331∧2)∧-1/3

4/(3∧7)∧-3/7-5/(2∧8)-1/4+2/(11∧3)-2/3

⇒=(4/(3)∧-3)-(5/(2)∧-2)+(2/(11)∧-2

⇒=(4*27)-(5*4)+(2*121)

=108-20+242

⇒=330

Answer 2

Answer:

330

Step-by-step explanation:

Given expression is,

$\frac{4}{(2187)^{-\frac{3}{7}}}-\frac{5}{(256)^{-\frac{1}{4}}}+\frac{2}{(1331)^{-\frac{1}{3}}}$

$=\frac{4}{(2187^\frac{1}{7})^{-3}}-\frac{5}{(256^\frac{1}{4})^{-1}}+\frac{2}{(1331^\frac{1}{3})^{-2}}$ ( Since, $a^{mn}=(a^m)^n$ )

$=\frac{4}{(3)^{-3}}-\frac{5}{(4)^{-1}}+\frac{2}{(11)^{-1}}$

$=4\times 3^3-5\times 4 + 2\times 11^2$ ( Because, $\frac{1}{a^m}=a^{-m}$ )

$=4\times 27-20+2\times 121$

$=108-20+242$

$=330$