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brilliants [131]
3 years ago
14

Find the value of ' m ' if (2/5)⁻⁵×(2/3)¹²=(2/3)³ˣ⁻² plsssssssssssssssss help me!!!!!!!!!!

Mathematics
1 answer:
sveta [45]3 years ago
6 0

Answer:

{( \frac{2}{3} )}^{ - 5}  \times  {( \frac{2}{3} )}^{ 12} =  {( \frac{2}{3} )}^{ 3x - 2}  \\  {( \frac{2}{3} )}^{ - 5 + 12}  =  {( \frac{2}{3} )}^{ 3x - 2}  \\  - 5 + 12 = 3x - 2 \\ 7 = 3x - 2 \\ 3x = 7 + 2 \\ 3x = 9 \\ x =  \frac{9}{3}  \\ x = 3

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___________________

\sf\ .04=\frac{4}{100}\\\\x=\frac{4}{100}\times350\\\\x=\frac{4\times350}{100}\\\\x=\frac{1400}{100}={\boxed{14}
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