Find the value of-2-3-5 - 3-6 -1-8-1-6- -

Simplifying nbsp; nbsp;(2/3)^5 × 3^6 ×1/8×1/6, we get nbsp;(2^5/3^5) × 3^6 ×1/2^3×1/2 × 3 nbsp;= 2^5×3^6/3^5×2^3×2×3 nbsp;= 2^5×3^6/3^6×2^4 =2 ...

You visited us 61 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Taking Power of a Power

Find the valu...

Question

Find the value of $(\frac{2}{3})^{5} \times 3^{6} \times \frac{1}{8} \times \frac{1}{6}$ .
___

Open in App

Solution

Simplifying $(\frac{2}{3})^{5} \times 3^{6} \times \frac{1}{8} \times \frac{1}{6}$ ,

we get $(\frac{2^{5}}{3^{5}}) \times 3^{6} \times \frac{1}{2^{3}} \times \frac{1}{2 \times 3}$
= $\frac{2^{5} \times 3^{6}}{3^{5} \times 2^{3} \times 2 \times 3}$

= $\frac{2^{5} \times 3^{6}}{3^{6} \times 2^{4}}$

$= 2$

Suggest Corrections

Similar questions

Q. Find the value of :

\sqrt{\frac{1}{3 - \sqrt{8}} - \frac{1}{\sqrt{8} - 7} + \frac{1}{\sqrt{7} - \sqrt{6}} - \frac{1}{\sqrt{6} - \sqrt{5}} + \frac{1}{\sqrt{2} - 2}}

Find the value of $36^{2} - 35^{2} =$

___

Q. Find the value of the expression

{[3^{1 / 3} {5^{- 1 / 2} \times 3^{- 1 / 3} \times (225^{2})^{1 / 3}}^{- 1 / 2}]}^{6}

Find the value of $\frac{1}{3 - \sqrt{8}} - \frac{1}{\sqrt{8} - \sqrt{7}} + \frac{1}{\sqrt{7} - \sqrt{6}} - \frac{1}{\sqrt{6} - \sqrt{5}} + \frac{1}{\sqrt{5} - 2}$ .

Q. If

1 \frac{2}{3} + 1 \frac{2}{8} = \frac{35}{a}

then, find the value of

a

Join BYJU'S Learning Program

Find the value of (23)5×36×18×16. ___

Simplifying (23)5×36×18×16, we get (2535)×36×123×12×3 = 25×3635×23×2×3 = 25×3636×24 =2

Find the value of $(\frac{2}{3})^{5} \times 3^{6} \times \frac{1}{8} \times \frac{1}{6}$ .
___