Answer:
[tex]\frac{4}{25} [/tex]
Step-by-step explanation:
1.
[tex]( \frac{2}{5} )^{ - 6} \times ( \frac{5}{2} )^{ - 8} [/tex]
2. Change the negative power into a positive power
[tex](\frac{5}{2} )^{6} \times ( \frac{5}{2} ) ^{ - 8} [/tex]
3. according to the product law, powers need to be added
[tex]\frac{5}{2} ^{6 + ( - 8)} [/tex]
4.
[tex]\frac{5}{2} ^{ - 2} [/tex]
5. Change the power into positive, take reciprocal.
[tex]\frac{2}{5} ^{2} [/tex]
6.
[tex]\frac{2 \times 2}{5 \times 5} = \frac{4}{25} [/tex]
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Answers & Comments
Answer:
[tex]\frac{4}{25} [/tex]
Step-by-step explanation:
1.
[tex]( \frac{2}{5} )^{ - 6} \times ( \frac{5}{2} )^{ - 8} [/tex]
2. Change the negative power into a positive power
[tex](\frac{5}{2} )^{6} \times ( \frac{5}{2} ) ^{ - 8} [/tex]
3. according to the product law, powers need to be added
[tex]\frac{5}{2} ^{6 + ( - 8)} [/tex]
4.
[tex]\frac{5}{2} ^{ - 2} [/tex]
5. Change the power into positive, take reciprocal.
[tex]\frac{2}{5} ^{2} [/tex]
6.
[tex]\frac{2 \times 2}{5 \times 5} = \frac{4}{25} [/tex]