Question

simplify(256/81)^5/4 somebody pls help what is ans to this simplify question

Answer 1

hope it helps............

Answer 2

The simplified form of the given expression is $\frac{1024}{243}$.

Step-by-step explanation:

The given expression is

$(\frac{256}{81})^{\frac{5}{4}}$

We need to find the simplified form of the given expression.

The given expression can be rewritten as

$(\frac{4^4}{3^4})^{\frac{5}{4}}$

Using the properties of exponents we get

$((\frac{4}{3})^4)^{\frac{5}{4}}$          $[\because \frac{a^m}{b^m}=(\frac{a}{b})^m]$

$(\frac{4}{3})^5$          $[\because (a^m)^n=a^{mn}]$

$\frac{4^5}{3^5}$          $[\because \frac{a^m}{b^m}=(\frac{a}{b})^m]$

$\frac{1024}{243}$

Therefore, the simplified form of the given expression is $\frac{1024}{243}$.

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