Question

solve for X-
4 upon7 whole raise to the power 3 divided by 7 upon 4 whole raise to the power 5 is equals to 4 upon 7 whole raise to power x - 2​

Answer 1

Answer:

$x = 10$

Step-by-step explanation:

${ (\frac{4}{7} )}^{3} \div {( \frac{7}{4} )}^{5} = {( \frac{4}{7}) }^{x - 2}$

${ (\frac{4}{7} )}^{3} \div {( \frac{4}{7}) }^{ - 5} = { (\frac{4}{7} )}^{x - 2}$

${a}^{n} \div {a}^{m} = {a}^{n - m}$

therefore

${ (\frac{4}{7}) }^{3 - ( - 5)} = { (\frac{4}{7} )}^{x - 2} \\ { (\frac{4}{7}) }^{8} = {( \frac{4}{7} )}^{x - 2}$

since,

${a}^{m} = {a}^{n} \\ m = n$

therefore

$8 = x - 2 \\ x = 10$