Question

Simplify : [(2/3)^2]^3 X (2/3)^2 ÷ (2/3)^8

Answer 1

Answer:

[($\frac{2}{3}$)²]³ X ($\frac{2}{3}$)² ÷ ($(\frac{2}{3} )^{8}$) = 1

Step-by-step explanation:

the simplified answer for given question is 1

Step-by-step explanation:

given,  [($\frac{2}{3}$)²]³ X ($\frac{2}{3}$)² ÷ $(\frac{2}{3} )^{8}$

here [($\frac{2}{3}$)²]³ = $(\frac{2}{3} )^{6}$

since  $(a^{m} )^{n}$= $a^{m*n}$

then, $(\frac{2}{3} )^{6}$ × $(\frac{2}{3} )^{2}$ = $(\frac{2}{3})^{8}$

since  $a^{m}$× $a^{n}$ = $a^{m+n}$

and, $a^{m} /a^{n} = a^{m-n}$

therefore, $(\frac{2}{3} )^{8}$ ÷ $(\frac{2}{3} )^{8}$ =$(\frac{2}{3} )^{8-8}$

$a^{0} = 1$

$(\frac{2}{3} )^{0}$   = 1

That is 1 .

therefore, simplified answer for given question is 1