Question

pls answer these questions​

Answer 1

Step-by-step explanation:

Q4

${5}^{x} = \frac{1}{125 } \\ x = - 3 \\ {2}^{x} = {2}^{ - 3} = \frac{1}{8}$

Answer 2

Step-by-step explanation:

$4) \: \: \: \: \: \: \: \: \: {5}^{x} = {125}^{ - 1} \\ \\ {5}^{x} = {5}^{ - 3} \\ \\ x = - 3. \\ \\2^(X)= 2^(-3)=1/8 \\ \\ \\ \\ \\ \\ 5) \: \: \: \: \: \: \: \: \: i) \: \: \: \: \: \: ( {( { \frac{3}{5}) }^{3} })^{ - 3} \times {15}^{ - 9} \\ \\ = ( { \frac{3}{5} })^{ - 9} \times {15}^{ - 9} \\ \\ = {3}^{ - 9} \times {3}^{ - 9} \\ \\ = {3}^{ - 18} . \\ \\ \\ \\ ii) \: \: \: \: \: ( { {(4)}^{3} })^{ - 2} \times( { {(2)}^{3} })^{4} \times {( \frac{8}{15}) }^{ - 2} \\ \\ = {2}^{ - 12} \times {2}^{12} \times {2}^{ - 6} \times \frac{1}{ {15}^{ - 2} } \\ \\ = \frac{ {2}^{ - 6} }{ {15}^{ - 2} } .$