Question 14

Which of the following is not equal to ${\left(\frac{-5}{4}\right)}^4$?
(a) $\frac{(-5{)}^4}{4^4}$
(b) $\frac{5^4}{(-4{)}^4}$
(c) $-\frac{5^4}{4^4}$
(d) $(-\frac{5}{4})\times (-\frac{5}{4})\times (-\frac{5}{4})\times (-\frac{5}{4})$

(4+√5)/(4-√5)+(4-√5)/(4+√5)

Question 28

In the following question, out of the four options, only one is correct. Write the correct answer.

${\left(\frac{3}{4}\right)}^5÷{\left(\frac{5}{3}\right)}^5$ is equal to

(a) ${(\frac{3}{4}÷\frac{5}{3})}^5$

(b) ${(\frac{3}{4}÷\frac{5}{3})}^1$

(c) ${(\frac{3}{4}÷\frac{5}{3})}^0$

(d) ${(\frac{3}{4}÷\frac{5}{3})}^{10}$

Prove that :

5/4×(54/48+105/75)=(5/4×54/48)+(5/4×105/75)

Question 9

$\frac{1}{5}÷\frac{4}{5}$ is equal to

(a) $\frac{4}{5}$
(b) $\frac{1}{5}$
(c) $\frac{5}{4}$
(d) $\frac{1}{4}$