Matematika

Pertanyaan

Sederhanakanlah (-b^3)^2.(a^1/4)^-3.b^3 dibagi (a^2)^4.b^1/4

1 Jawaban


  • [tex] \frac{ { {( - b}^{3} )}^{2} \times { {(a}^{ \frac{1}{4} }) }^{ - 3} \times {b}^{3} }{ { ({a}^{2}) }^{4} \times {b}^{ \frac{1}{4} } } \\ = \frac{ { - b}^{6} \times {b}^{3} \times {a}^{ - \frac {3 }{4} } }{ {a}^{8} \times {b}^{ \frac{1}{4} } } \\ = { (- b}^{6 + 3 - \frac{1}{4}} )( {a}^{ - \frac{3}{4} - 8 } ) \\ =( { - b}^{ \frac{24 + 12 - 1}{4} } )( {a}^{ \frac{ - 3 - 32}{4} } ) \\ = ( { - b}^{ \frac{35}{4} } )( {a}^{ - \frac{35}{4} } ) \\ =( { \frac{ - b}{a} )}^{ \frac{35}{4} } [/tex]

Pertanyaan Lainnya