Question

4÷(216)-⅔ - 1÷(256)-¾ find the value

Answer 1

$\huge\underline\mathfrak{Explanation:}$

We have

$\frac{4}{(216) { \frac{}{} }^{ \frac{ - 2}{3} } } - \frac{1}{(256) { \frac{}{} }^{ \frac{ - 3}{4} } } \\ \\ = \frac{4}{ {(6 {}^{3} ) {}^{} }^{ \frac{ - 2}{3} } } - \frac{1}{(4 {}^{4} ) {}^{ \frac{ - 3}{4 } } } \\ \\ = \frac{4}{ {6}^{3 \times \frac{ - 2}{3} } } - \frac{1}{ {4}^{4 \times \frac{ - 3}{4} } } \\ \\ = \frac{4}{ {6}^{ - 2} } - \frac{1}{ {4}^{ - 3} } \\ \\ = 4 \times {6}^{2} - {4}^{3} \\ \\ = 4 \times 36 - 64 \\ \\ = 144 - 64$

$\bold{\large{\boxed{\sf{\red{Answer:80}}}}}$