Question

I just forgot this like ;-;

Answer 1

Answer:

$\boxed{\bf \dfrac{64}{729} }$

Hence,

$\boxed{\bf \: \bigg( \dfrac{2}{3} \bigg) {}^ {6} = \dfrac{64}{729}}$

Step-by-step explanation:

Given arithmetic expression is :-

$\sf \longmapsto(2/3) {}^{6}$

This expression may be rewritten as :-

$\sf \longmapsto \bigg(\dfrac{2}{3} \bigg) {}^{6}$

6 is the index and 2/3 is the base.

In words, this may be represented as 2/3 raised to the Power 6.

Let's calculate.

It means that 2 is raised to the power of 6 and 3 is also raised to the power 6.

That is,

$\sf \longmapsto \dfrac{ {2}^{6} }{ { 3}^{6} }$

It will be represented as,

$\sf \longmapsto \: \dfrac{2 \times 2 \times 2 \times 2 \times 2 \times 2}{3 \times 3 \times 3 \times 3 \times 3 \times 3}$

On Simplification:-

$\sf \longmapsto \dfrac{64}{729}$

In Decimal:-

$\sf \longmapsto0.08(approx .)$

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

Answer 2

Answer:

$\frac{64}{729}$

Step-by-step explanation:

$(\frac{2}{3} )^6$   means (2×2×2×2×2×2) = 64;  (3×3×3×3×3×3) =729

=  $\frac{64}{729}$