Question

Help me solve both this question

Answer 1

Question 3

( a ) $[(\frac{3}{7})^4\times(\frac{3}{7})^5]/(\frac{3}{7})^7$

$=>[\frac{3}{7}]^{4+5}/(\frac{3}{7})^7$

$=>[\frac{3}{7}]^9/(\frac{3}{7})^7$

$=>[{\frac{3}{7}]^{9-7}$

$=>(\frac{3}{7})^2$

ANSWER :

$(\frac{3}{7})^2$

( b ) $[(\frac{7}{11})^5/(\frac{7}{11})^2]\times(\frac{7}{11})^2$

$=>[(\frac{7}{11})^{5-2}\times(\frac{7}{11})^2$

$=>(\frac{7}{11})^3\times(\frac{7}{11})^2$

$=>(\frac{7}{11})^{3+2}$

$=>(\frac{7}{11})^5$

ANSWER :

$(\frac{7}{11})^5$

Question 4 :

$(\frac{5}{3})^5\times(\frac{5}{3})^{11}=(\frac{5}{3})^{8x}$

$=>(\frac{5}{3})^{5+11}=(\frac{5}{3})^{8x}$

$=>(\frac{5}{3})^{16}=(\frac{5}{3})^{8x}$

Comparing the roots we have :

$8 x = 16$

$\implies x=\frac{16}{8}$

$\implies x=2$

ANSWER:

2