Question

find the value of m (-5/3)⁶ × (-5/3)²m=(-5/3)‐⁴​

Answer 1

Answer:

${ (\frac{ - 5}{3} )}^{6} \times { (\frac{ - 5}{3}) }^{2m} = { (\frac{ - 5}{3}) }^{ - 4} \\ { (\frac{ - 5}{3}) }^{2m} = { (\frac{ - 5}{3}) }^{ - 4} \div { (\frac{ - 5}{3} )}^{6} \\ { (\frac{ - 5}{3}) }^{2m} = { (\frac{ - 5}{3}) }^{ - 4 - 6} \\ { (\frac{ - 5}{3}) }^{2m} = { (\frac{ - 5}{3}) }^{ - 10} \\ 2m = - 10 \\ m = \frac{ - 10}{2} \\ m = \underline{ \underline{ - 5}}$