Question
Which of the following is a correct statement?
✓
Answer
- $5\text{a}^2\text{bc}^2$
Solution:
Find value of $\sqrt[5]{3125\text{a}^{10}\text{b}^{5}\text{c}^{10}}.$
$\sqrt[5]{3125\text{a}^{10}\text{b}^{5}\text{c}^{10}}=\sqrt[5]{5^5\text{a}^{10}\text{b}^{5}\text{c}^{10}}$
$=5^{5\times\frac{1}{5}}\text{a}^{10\times\frac{1}{2}}\text{b}^{5\times\frac{1}{5}}\text{c}^{10\times\frac{1}{5}}$
$\sqrt[5]{3125\text{a}^{10}\text{b}^5\text{c}^{10}}=5\text{a}^2\text{bc}^2$
Hence the correct choice is a.
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