Question
Evaluate the following: $\sqrt[3]{\frac{729}{216}}\times\frac{6}{9}$
✓
Answer
To evaluate the value of the given expression, we need to proceed as follows:
$\sqrt[3]{\frac{729}{216}}\times\frac{6}{9}$
${\frac{\sqrt[3]{729}}{\sqrt[3]{216}}}\times\frac{6}{9}$
$=\frac{\sqrt[3]{9\times9\times9}}{\sqrt[3]{2\times2\times2\times3\times3\times3}}\times\frac{6}{9}$
$=\frac{9}{2\times3}\times\frac{6}{9}$
$=\frac{9^1}{6}\times\frac{6^1}{9}=1$ Thus, the answer is $1.$
$\sqrt[3]{\frac{729}{216}}\times\frac{6}{9}$
${\frac{\sqrt[3]{729}}{\sqrt[3]{216}}}\times\frac{6}{9}$
$=\frac{\sqrt[3]{9\times9\times9}}{\sqrt[3]{2\times2\times2\times3\times3\times3}}\times\frac{6}{9}$
$=\frac{9}{2\times3}\times\frac{6}{9}$
$=\frac{9^1}{6}\times\frac{6^1}{9}=1$ Thus, the answer is $1.$
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