Question

evaluate the following​

Answer 1

Answer:

$= ( \frac{27}{8} ) {}^{ \frac{2}{3} } - (\frac{1}{4} ) {}^{ - 2} + {5}^{0}$

$=( \frac{3}{2} ) {}^{3} {}^{ \times } {}^{ \frac{2}{3} } - ( \frac{1}{2} ) {}^{2} { }^{ \times } {}^{ - 2} + 1$

$( \frac{3}{2} ) {}^{2} - ( \frac{1}{2} ) {}^{2} {}^{ \times - 2} + 1$

$\frac{9}{4} - ( \frac{1}{2} ) {}^{ - 4} + 1$

$= \frac{9}{4} - {2}^{4} + 1$

$\frac{9}{4} + 16 + 1$

$= \frac{9 + 64 + 4}{4}$

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$= \frac{77}{4}$