Question

simplify [{(2/3)²}³×(1/3)power -4 ×3-¹×(1/6)]​

Answer 1

$[\{(\frac{2}{3})^2\}^3\times (\frac{1}{3})^{-4}\times 3^{-1}\times (\frac{1}{6})]=\frac{32}{81}$

Step-by-step explanation:

Given : Expression $[\{(\frac{2}{3})^2\}^3\times (\frac{1}{3})^{-4}\times 3^{-1}\times (\frac{1}{6})]$

To find : Simplify the expression ?

Solution :

Solving the expression,

$[\{(\frac{2}{3})^2\}^3\times (\frac{1}{3})^{-4}\times 3^{-1}\times (\frac{1}{6})]$

$=[\{(\frac{4}{9})\}^3\times (3)^{4}\times\frac{1}{3} \times (\frac{1}{6})]$

$=[\frac{64}{729}\times 81\times\frac{1}{3} \times \frac{1}{6}]$

$=\frac{32}{81}$

Therefore, $[\{(\frac{2}{3})^2\}^3\times (\frac{1}{3})^{-4}\times 3^{-1}\times (\frac{1}{6})]=\frac{32}{81}$

#Learn more

Simplify (2x+3)(x+4)

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Answer 2

Answer:

Step-by-step explanation: