Question

3 by 10 to the power 5 into 2 by 15 to the power 5 simplify using the laws of exponents and powers​

Answer 1

Step-by-step explanation:

${( \frac{3}{10}) }^{5} \times {( \frac{2}{15} )}^{5} \\ = \frac{ {3}^{5} }{ {10}^{5} } \times \frac{ {2}^{5} }{ {15}^{5} } \\ = \frac{ {3}^{5} }{ {2}^{5} \times {5}^{5} } \times \frac{ {2}^{5} }{ {3}^{5} \times {5}^{5} } \\ = {3}^{5} \times {2}^{5} \times {2}^{ - 5} \times {5}^{ - 5} \times {3}^{ - 5} \times {5}^{ - 5} \\ = {2}^{5 - 5} \times {3}^{5 - 5} \times {5}^{ - 5 - 5} \\ = {2}^{0} \times {3}^{0} \times {5}^{ - 10} \\ = 1 \times 1 \times {5}^{ - 10} \\ = \frac{1}{ {5}^{10} }$

hope you get your answer