Yang bisa tolong jawab pake caranya pliss

Yang bisa tolong jawab pake caranya pliss

Penjelasan dengan langkah-langkah:

$1. : a. frac{ {2}^{2} times {5}^{5} }{ {2}^{4} } = {2}^{2 - 4} times {5}^{5} \ = {2}^{ - 2} times 5 = frac{1}{4} times 5 \ = frac{5}{4} \ \ b. frac{ {( {6}^{5} )}^{2} }{ {6}^{7} } = {6}^{5 times 2 - 7} \ = {6}^{3} = 216 \ \ c. frac{( {2 times 7)}^{5} }{ {7}^{4} } = {2}^{5} times {7}^{5 - 4} \ = {2}^{5} times 7 = 224 \ \ d. { (frac{3}{5} )}^{5} times {( {5}^{2} )}^{3} = frac{ {3}^{5} }{ {5}^{5} } times {5}^{6} \ = {3}^{5} times {5}^{6 - 5} = {3}^{5} times 5 \ = 1215 \ \ e. {( {3}^{2}) }^{4} times {( frac{2}{3}) }^{6} = {3}^{2 times 4} times frac{ {2}^{6} }{ {3}^{6} } \ = {3}^{6} times frac{ {2}^{6} }{ {3}^{6} } = {2}^{6} \ = 64$

$2. : a. {x}^{4} . : {(2x)}^{3} = {x}^{4} . : {2}^{3} {x}^{3} \ = 8 {x}^{4 + 3} = {8x}^{7} \ \ b. { {(3p}^{2} )}^{3} = {3}^{3} {p}^{2 times 3} = 27 {p}^{6} \ \ c. { ({x}^{2} {y}^{3} )}^{2} div {(xy)}^{3} = {x}^{2 times 2} {y}^{3 times 2} div {x}^{3} {y}^{3} \ {x}^{4} {y}^{6} div {x}^{3} {y}^{3} = {x}^{4 - 3} {y}^{6 - 3} \ = x {y}^{3} \ \ d. {(2 {m}^{3} )}^{6} div {4m}^{5} = {2}^{6} {m}^{3 times 6} div {4m}^{5} \ = 64 {m}^{18} div {4m}^{5} = 16 {m}^{18 - 5} \ = {16m}^{13} \ \ e. { (frac{p}{2}) }^{5} times frac{6}{ {p}^{2} } = frac{ {p}^{5} }{ {2}^{5} } times frac{6}{ {p}^{2} } \ = frac{ {6p}^{5} }{32 {p}^{2} } = frac{3}{16} {p}^{5 - 2} \ = frac{3}{16} {p}^{3}$

NOMOR 1.

a. $frac{{2}^{2} times {5}^{5}}{ {2}^{4} } = frac{1 times {5}^{5} }{ {2}^{4 - 2} } = frac{ {5}^{5} }{ {2}^{2} } = frac{3.125}{4}$

b. $frac{( { {6}^{5}) }^{2} }{ {6}^{7} } = frac{ {6}^{5 times 2} }{ {6}^{7} } = frac{ {6}^{10} }{ {6}^{7} } = {6}^{10 - 7} = {6}^{3} = 216$

c. $frac{( {2 times 7)}^{5} }{ {7}^{4} } = frac{ {2}^{5} times {7}^{5} }{ {7}^{4} } = {2}^{5} times {7}^{5 - 4} = {2}^{5} times 7 = 32 times 7 = 224$

d. $( { frac{3}{5}) }^{5} times ( { {5}^{2}) }^{3} = ( { frac{3}{5}) }^{5} times {5}^{2 times 3} = ( frac{ {3}^{5} }{ {5}^{5} } ) times {5}^{6} = {3}^{5} times {5}^{6 - 5} = {3}^{5} times 5 = 243 times 5 = 1.215$

e. $( { {3}^{2}) }^{4} times ( { frac{2}{3} )}^{5} = ( {3}^{2 times 4} ) times ( frac{ {2}^{5} }{ {3}^{5} } ) = ( {3}^{8}) times ( frac{ {2}^{5} }{ {3}^{5} } ) = {3}^{8 - 5} times {2}^{5} = {3}^{3} times {2}^{5} = 27 times 32 = 864$