Question

$({ \frac{1}{64} })^{0} + ( {64})^{ - \frac{1}{2} } + ( {32})^{ \frac{4}{5} } - ( {32})^{ - \frac{4}{5} } = ??$
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Answer 1

${\huge{\underbrace{\overbrace{\color{aqua} {Question}}}}}$

$( \frac{1}{64})^{0} + (64)^{ - \frac{1}{2} } + (32)^{ \frac{4}{5} } - (32)^{ - \frac{4}{5} } = ??$

$\huge{\mathcal\fcolorbox{black} {cyan} {Answer}}$

$⇒( \frac{1}{64})^{0} + (64)^{ - \frac{1}{2} } + (32)^{ \frac{4}{5} } - (32)^{ - \frac{4}{5} } = ??$

$⇒1 + \frac{1}{ ({64})^{ \frac{1}{2} } } + ( {32})^{ \frac{4}{5} } - \frac{1}{( {32})^{ - \frac{4}{5} } }$

$⇒1 + \frac{1}{8} + {2}^{ \cancel5 \times \frac{4}{ \cancel5} } - \frac{1}{ {2}^{ \cancel5 \times \frac{4}{ \cancel5} } }$

$⇒17 + \frac{1}{8} - \frac{1}{16}$

$⇒17 + \frac{1}{16}$

$⇒17 \frac{1}{16}$

Answer 2

Answer:

⇒1+

(64)

2

1

1

+(32)

5

4

−

(32)

−

5

4

1

⇒1 + \frac{1}{8} + {2}^{ \cancel5 \times \frac{4}{ \cancel5} } - \frac{1}{ {2}^{ \cancel5 \times \frac{4}{ \cancel5} } } ⇒1+

8

1

+2

5

×

5

4

−

2

5

×

5

4

1

⇒17 + \frac{1}{8} - \frac{1}{16} ⇒17+

8

1

−

16

1

⇒17 + \frac{1}{16} ⇒17+

16

1

⇒17 \frac{1}{16} ⇒17

16

1