Simplify and write the following in exponential form: 3^2 7^8 13^… - Vidyadip

Question

Simplify and write the following in exponential form:
$\frac{3^2\times7^8\times13^6}{(21)^2\times(91)^3}$

✓

Answer

$\frac{3^2\times7^8\times13^6}{(21)^2\times(91)^3}$
$=\frac{3^2\times7^27^6\times(13)^6}{(21)^2\times(13)^3\times(7)^3}$
$=\frac{(21)^2\times7^6\times(13)^6}{(21)^2\times(13)^3\times(7)^3}$
$=\frac{7^6\times(13)^6}{(13)^3\times(7)^3}$
$=\frac{91^6}{91^3}$
$=(91)^{6-3}$
$=(91)^3$

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 "3 Mark Question" from Exponents→Exponents — all question types→Maths STD 7 question papers→Maharashtra Board STD 7 question papers→Maharashtra Board question paper generator→

Similar questions

Find the mean of the following data:

x:	19	21	23	25	27	29	31
f:	13	15	16	18	16	15	13

Find the gain or loss per cent when:
CP = Rs. 12000 and SP = Rs. 12800

Find the number whose 13% is 65

A girl can finish a book in 25 days if she reads 18 pages of it every day. How many days will she take to finish it, if she reads 15 pages every day?

The adjacent sides of a parallelogram are 10m and 8m. If the distance between the longer sides is 4m, find the distance between the shorter sides.

What should be added to $\frac{-5}{7}$ so as to get $\frac{-2}{3}?$

Solve the following equations by trial and error method:
x + 3 = 12

The circumference of a circle exceeds its diameter by 30cm. Find the radius of the circle.

The product of two decimals is 1.824. If one of them is 0.64, find the other.