Sederhanakan

By Admin ReiPosted on December 2, 2022

a. (2^4)^5.2^3
b. 5^2(1/125)^-1:25^2
c. (a^4.b^-3)^7
d. (1/10.000)^3/4
e. (4^2.2^-4).(5^2.3^-3)^2

Sederhanakan

Penjelasan dengan langkah-langkah:

a.

$( {2}^{4} ) {}^{5} . {2}^{3}$

$= {2}^{4 times 5} . {2}^{3}$

$= 2 {}^{20 + 3}$

$= {2}^{23}$

b.

${5}^{2} .( frac{1}{25} ) {}^{ - 1} div {25}^{2}$

$= {5}^{2} .125 div {25}^{2}$

$= {5}^{2} . {5}^{3} div ( {5}^{2} ) {}^{2}$

$= {5}^{2} . {5}^{3} div {5}^{2 times 2}$

$= {5}^{6 - 4}$

$= {5}^{2}$

c.

$( {a}^{4} . {b}^{ - 3} ) {}^{7}$

$= {a}^{4 times 7} . {b}^{( - 3) times 7}$

$= {a}^{28} . {b}^{ - 21}$

$= frac{ {a}^{28} }{ {b}^{21} }$

d.

$( frac{1}{10000} ) {}^{ frac{3}{4} }$

$= sqrt[4]{( frac{1}{10000} } ) {}^{3}$

$= (frac{1}{10} ) {}^{3}$

$= {10}^{ - 3}$

e.

$( {4}^{2} . {2}^{ - 4} ).( {5}^{2} . {3}^{ - 3} ) {}^{2}$

$= (( {2}^{2} ) {}^{ 2} . {2}^{ - 4} ).( {5}^{2 times 2} . {3}^{( - 3) times 2} )$

$= ( {2}^{4 } . {2}^{ - 4} ).( {5}^{4} . {3}^{ - 6} )$

$= ( {2}^{4 - 4} ). {5}^{4} div {3}^{6}$

$= 1. {5}^{4} div {3}^{6}$

$= {5}^{4} div {3}^{6}$