Question

evaluate (343/1331)1/3​

Answer 1

Answer:

$\bigg({ \frac{343}{1331} } \bigg)^{ \frac{1}{3} } = \frac{7}{11}$

Step-by-step explanation:

To evaluate

$\bigg({ \frac{343}{1331} } \bigg)^{ \frac{1}{3} }$

In such cases always try to convert the terms in the power of 3

here we know that

$\bigg({ \frac{343}{1331} } \bigg)^{ \frac{1}{3} } = \bigg({ \frac{7 \times 7 \times 7}{11 \times 11 \times 11} } \bigg)^{ \frac{1}{3} } \\ \\ = \bigg({ \frac{ {(7)}^{3} }{ {(11)}^{3} } } \bigg)^{ \frac{1}{3} } \\ \\ = \frac{ {(7)}^{3 \times \frac{1}{3} } }{( {11)}^{3 \times \frac{1}{3} } } \\ \\ \bigg({ \frac{343}{1331} } \bigg)^{ \frac{1}{3} } = \frac{7}{11}$

Hope it helps you.

Answer 2

Answer:

7/11

Explanation:

(7^3/11^3)^1/3

=(7/11)^1/3×3

=7/11

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