Question

the value of x in the given expression (3/7)power 3x × (3/7)power 2x = (7/3) power -5 is
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Answer 1

Answer:

3/7^3x×3/7^2x=3/7^5

3x+2x=5

5x=5

x =5/5=1

answer is 1

hope this helps!

7/3^-5

the power is negative that is why we may write it as 3/7^5

Answer 2

Answer:

x = 1

${ \frac{3}{7} }^{3x} \times { \frac{3}{7} }^{2x} = { \frac{7}{3} }^{ - 5} \\ as \: {a}^{ - m} = \frac{1}{ {a}^{m} } \\ so \\ { \frac{3}{7} }^{3x} \times { \frac{3}{7} }^{2x} = { \frac{3}{7} }^{5} \\ { \frac{3}{7} }^{3x + 2x} = { \frac{3}{7} }^{5} \\ { \frac{3}{7} }^{5x} = { \frac{3}{7} }^{5} \\ hence \\ 5x = 5 \\ x = \frac{5}{5} = 1$