Question

slimplify 2 to the power of 2/3× 2 to the power of - 2/5​

Answer 1

Answer:

$\frac{16}{225} \: or \: {( \frac{4}{15}) }^{2}$

Step-by-step explanation:

${ (\frac{2}{3}) }^{2}\times{ ( \frac{ - 2}{5} )}^{2} \\ = \frac{2 \times 2}{3 \times 3} \times \frac{ - 2 \times - 2}{5 \times 5 } \\ = \frac{4}{9} \times \frac{4}{25} \\ = \frac{16}{225} \: or \:{ ( \frac{4}{15} )}^{2}$

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