Evaluate: ${(49)}^{- \frac{1}{4}} \div {(49)}^{\frac{1}{4}}$

Open in App

Solution

${(49)}^{\frac{- 1}{4}} \div {(49)}^{\frac{1}{4}}$
$= {(49)}^{\frac{- 1}{4} - \frac{1}{4}}$
$= {(49)}^{\frac{- 2}{4}}$
$= {(49)}^{\frac{- 1}{2}}$
$= \frac{1}{{(49)}^{1 / 2}}$
$= \frac{1}{7}$

Suggest Corrections

Similar questions

7 \times (343)^{\frac{1}{3}} \times \frac{49^{\frac{1}{2} - 49^{- \frac{1}{2}}}}{7} =

{(\frac{16}{81})}^{- \frac{3}{4}} \times {(\frac{49}{9})}^{\frac{3}{2}} \div {(\frac{343}{216})}^{\frac{2}{3}}

{(\frac{16}{81})}^{- \frac{3}{4}} \times {(\frac{49}{9})}^{\frac{3}{2}} + {(\frac{343}{216})}^{\frac{2}{3}}

Question 85 (b)

Evaluate
$\frac{5^{4} \times 7^{4} \times 2^{7}}{8 \times 49 \times 5^{3}}$

50 \frac{1}{2} \times 49 \frac{1}{2}

Join BYJU'S Learning Program