Question

(16/81)^-3/4×(49/9)^3/2÷(343/216)^2/3

Answer 1

ans ,31.5 you better download photo math

Answer 2

The simplified form of the given expression is $\dfrac{63}{2}$.

Step-by-step explanation:

The given expression is

$(\frac{16}{81})^{-\frac{3}{4}}\times (\frac{49}{9})^{\frac{3}{2}}\div (\frac{343}{216})^{\frac{2}{3}}$

It can be rewritten as

$((\frac{2}{3})^4)^{-\frac{3}{4}}\times ((\frac{7}{3})^2)^{\frac{3}{2}}\div ((\frac{7}{6})^3)^{\frac{2}{3}}$

Using exponential property we get

$(\frac{2}{3})^{-3}\times (\frac{7}{3})^{3}\div (\frac{7}{6})^{2}$        $[\because (a^m)^n=a^{mn}]$

$(\frac{3}{2})^{3}\times (\frac{7}{3})^{3}\div (\frac{7}{6})^{2}$        $[\because (a)^n=(\frac{1}{a})^{-n}]$

$\frac{27}{8}\times \frac{343}{27}\div (\frac{49}{36})$

$\frac{27}{8}\times \frac{343}{8}\times \frac{36}{49}$

$\frac{63}{2}$

Therefore, the value of given expression is $\frac{63}{2}$.

#Learn more

Simply and give reason x^3/5×x^4/5×x^-2/5.​

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