Instructions

What will come in place of the question mark (?) in the given question?

Question 145

$$\frac{256^{\frac{1}{4}}}{1\frac{3}{5}}-\frac{3}{5}=?$$

Solution

Expression : $$\frac{256^{\frac{1}{4}}}{1\frac{3}{5}}-\frac{3}{5}=?$$

= $$\frac{4^{4 \times \frac{1}{4}}}{\frac{8}{5}} - \frac{3}{5}$$

= $$\frac{4 \times 5}{8} - \frac{3}{5}$$

= $$\frac{5}{2} - \frac{3}{5}$$

= $$\frac{25 - 6}{10}$$

= $$\frac{19}{10} = 1\frac{9}{10}$$


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