Download App

Numbers System — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsNumbers System2 Marks
Question
Simplify: $\Big(\frac{81}{49}\Big)^{-\frac{3}{2}}$
✓

Answer

$\Big(\frac{81}{49}\Big)^{-\frac{3}{2}}$ $=\Big(\frac{49}{81}\Big)^{\frac{3}{2}}$ $=\Big(\frac{7^2}{9^2}\Big)^{\frac{3}{2}}$ $=\frac{7^{2\times\frac{3}{2}}}{9^{2\times\frac{3}{2}}}$ $=\frac{7^3}{9^3}$ $=\frac{343}{729}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Numbers System→Numbers System — all question types→Maths STD 9 question papers→Gujarat Board STD 9 question papers→Gujarat Board question paper generator→

Similar questions

Write the following in decimal form and say what kind of decimal expansion has.
$2\frac{5}{12}$
→
Write the reciprocal of $\big(2+\sqrt{3}\big).$
→
Examine whether the following numbers are rational or irrational. $3+\sqrt{3}$
→
The average weight of $10$ oarsmen in a boat is increased by $1.5\ kg$ when one of the crew who weighs $58\ kg$ is replaced by a new. Find the weight of the new man.
→
Write the following in decimal form and say what kind of decimal expansion has. $\frac{15}{13}$
→
Retionalise the denominator of each of the following: $\frac{3\sqrt2}{\sqrt5}$
→
Find two rational numbers of the form $\frac{\text{p}}{\text{q}}$ between the numbers $0.2121121112..$. and $0.2020020002...$
→
Factorise:
$216+27 b^3+8 c^3-108 b c$
→
Prove that: $\sqrt{\text{x}^{-1}\text{y}}\times\sqrt{\text{y}^{-1}\text{z}}\times\sqrt{\text{z}^{-1}\text{x}}=1.$
→
Simplify $\Bigg[\Big\{(256)^{-\frac{1}{2}}\Big\}^{-\frac{1}{4}}\Bigg]^2.$
→