Question

please give answer fast ​

Answer 1

Answer:

Hope it helpful.

Step-by-step explanation:

4.1)

$( \frac{5}{3})^{5} * (\frac{5}{3})^{11} = (\frac{5}{3})^{8x}\\or, (\frac{5}{3})^{5+11} = (\frac{5}{3})^{8x}\\or, (\frac{5}{3})^{16} =(\frac{5}{3})^{8x} \\or, 16 = 8x\\or, x = \frac{16}{8} =2$

4.2)

$\frac{10^{22}+10^{20} }{10^{20} } \\= \frac{10^{20( 10^{2}+1 ) } }{10^{20} } \\= ( 10^{2}+1 )\\= 100+1\\=101$

4.3) Descending order means that arrange in largest to smallest order.

First, calculate the value:-

1.$2^{2+3} = 2^{5} =32$

2. $( 2^{2})^{3} =(2^{6}) =64$

3.$2 * 2^{2} = 2* 4 = 8$

4.$\frac{3^{5} }{3^{2} } = 3^{5-2} =3^{3} =27$

5.$3^{2} * 3^{0} = 9 *1 =9$

6.$2^{3} *5^{2} = 8 * 25=200$

∴ The descending order is ,

200 , 64 ,32 ,27 ,9 ,8 or

$2^{3} * 5^{2} , (2^{2})^{3} , 2^{2+3} , \frac{3^{5} }{3^{2} } ,3^{2} *3^{0} ,2*2^{2}$

4.4) a)

$\frac{125 * 5^{2} * a^{7} }{10^{3} * a^{4} } \\= \frac{5^{3} * 5^{2} * a^{7} }{( 5*2 ) * a^{4} }\\=\frac{5^{3+2-1 }* a^{7-4} }{2}= \frac{5^{4}* a^{3} }{2} \\=\frac{625a^{3} }{2}$

( crop the last 3 question and asked one more time)