Question

3³*(343)¯⅔*9¯⅓. Evaluate ​

Answer 1

Answer:

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Step-by-step explanation:

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\begin{gathered}{3}^{3} \times {243}^{ \frac{ - 2}{3} } \times {9}^{ \frac{ - 1}{3} } \\ {3}^{3} \times {3}^{5 \times \frac{ - 2}{3} } \times {3}^{2 \times \frac{ - 1}{3} } \\ {3}^{3 + \frac{ - 10}{3} + \frac{ - 2}{3} } = {3}^{ \frac{9 - 10 - 2}{3} } \\ = {3 }^{ \frac{ - 3}{3} } = {3}^{ - 1} \\ = \frac{1}{3}\end{gathered}

3

3

×243

3

−2

×9

3

−1

3

3

×3

5×

3

−2

×3

2×

3

−1

3

3+

3

−10

+

3

−2

=3

3

9−10−2

=3

3

−3

=3

−1

=

3

1

Answer 2

Step-by-step explanation

= 3³×( 7³)‐⅔× 3⅔

=3³×7‐²×3⅔

=(3) ³*‐⅔ × 7‐²

=3‐²* 7‐²

= 1/9×1/49

= 1/441 or (1/21)²