Matematika 1.) [tex] \frac{a.b {}^{2}.a {}^{6} }{a {}^{4}.b } [/tex]2.)[tex] \frac{a { }^{4} \div b {}^{2} \times a {}^{2} }{a \times b {}^{5} } [/tex]3.)[tex] \frac{a {}^{4} \times a {}^{3} \div b {}^{2} }{a {}^{3} \times b {}^{4} } [/tex]4.)[tex] \frac{a {}^{2} { \times b {}^{} }^{3} \times b {}^{2} }{a {}^{4} \div a {}^{2} } [/tex]TOLONG BANTU YA KAKAK KAKAK​

raoulhuelsulv – April 05, 2023

1.)
[tex] \frac{a.b {}^{2}.a {}^{6} }{a {}^{4}.b } [/tex]
2.)
[tex] \frac{a { }^{4} \div b {}^{2} \times a {}^{2} }{a \times b {}^{5} } [/tex]
3.)
[tex] \frac{a {}^{4} \times a {}^{3} \div b {}^{2} }{a {}^{3} \times b {}^{4} } [/tex]
4.)
[tex] \frac{a {}^{2} { \times b {}^{} }^{3} \times b {}^{2} }{a {}^{4} \div a {}^{2} } [/tex]


TOLONG BANTU YA KAKAK KAKAK​

Jawab:
[1.]  = a³b
[2.] = a⁵/b⁷
[3.] = a⁴/b⁶
[4.] = b⁵

Penjelasan:
[1.]  (ab²a⁶) ÷ (a⁴b) = a·a⁶a⁻⁴b²b⁻¹
= a¹⁺⁶⁻⁴b²⁻¹ = a⁷⁻⁴b¹ = a³b

[2.] (a⁴÷b²a²) ÷ (ab⁵) = (a⁴a²) ÷ (ab²b⁵)
= a⁴a²a⁻¹b⁻²⁻⁵ = a⁴⁺²⁻¹b⁻⁷ = a⁶⁻¹b⁻⁷
= a⁵b⁻⁷ = a⁵/b⁷

[3.] (a⁴a³÷b²) ÷ (a³b⁴) = (a⁴a³) ÷ (a³b⁴b²)
= a⁴ ÷ (b⁴b²) = a⁴/(b⁴⁺²) = a⁴/b⁶

[4.] (a²b³b²) ÷ (a⁴÷a²) = (a²b³b²) ÷ (a⁴a⁻²)
= a²⁻⁴⁻⁽⁻²⁾b³⁺² = a²⁻⁴⁺²b⁵ = a⁴⁻⁴b⁵ = a⁰b⁵
= b⁵

(Xcvi)

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