Question

Solve this within 2 minutes​

Answer 1

Answer:

5.67

Step-by-step explanation:

This is the step to step solution

Answer 2

Answer:

Question :-

$\sf{2}^{-1}$ [ ($\sf\dfrac{5}{3}$)⁴+($\sf\dfrac{3}{5}$)^-2 ] ÷ $\sf\dfrac{17}{9}$

To find :-

Simplify it.

Formula used :-

• a^-1 = $\sf\frac{1}{a}$
• (a/b)^-2 = (b/a)²
• (a/b)⁴ = a⁴/b⁴

$\huge\sf\underline{solution}$

$\frac{1}{2} \times ( \frac{ {5}^{4} }{ {3}^{4} } + \frac{5}{3} ^{2} ) \div \frac{17}{9}$

$\frac{1}{2} \times ( \frac{625}{81} + \frac{ {5}^{2} }{ {3}^{2} } ) + \frac{17}{9}$

$\frac{1}{2} \times ( \frac{625}{81} + \frac{25}{9}) \div \frac{17}{9}$

Taking L.C.M as 81.

$\frac{1}{2}( \frac{625 + 225}{81}) \div \frac{17}{9}$

$( \frac{1}{2} \times \frac{850}{81} ) \div \frac{17}{9}$

$\frac{425}{81} \div \frac{17}{9}$

$\frac{425}{81} \times \frac{9}{17}$

$\frac{25}{9}$