Simplify:(2^ 2 +3^2-4^2) (3 2 )^2 - Vidyadip

Question

Simplify:$(2^{2}+3^2-4^2)\div\Big(\frac{3}{2}\Big)^2$

✓

Answer

$(2^{2}+3^2-4^2)\div\Big(\frac{3}{2}\Big)^2$
$=(4\div9-16)\div\frac{9}{4}=-3\times\frac{4}{9}$
$=\frac{-1\times4}{3}=\frac{-4}{3}$

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 Mark Question" from Powers→Powers — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Simplify the following and express the result as a rational number in standard form:
$\frac{-11}{9}\times\frac{-81}{-88}$

The area of a square playground is 256.6404 square metres. Find the length of one side of the playground.

The product of two numbers is -8. If one of them is -12, find the other.

A beam 5m long and 40cm wide contains 0.6 cubic metres of wood. How thick is the beam?

Divide
$5 m^3-30 m^2+45 m$ by $5 m$

Find following products:
$\Big(5\text{x}^2+\frac{3}{4}\text{y}^2\Big)\Big(5\text{x}^2-\frac{3}{4}\text{y}^2\Big)$

Evaluate:$\Big(\frac{10}{11}\Big)^3$

Find the square root of the following by long division method:
97344

Find the square root of:
$10\frac{151}{225}$

Find the least number which must be subtracted from the following numbers to make tham a perfact square:
$2361$