Roboguru

Sederhanakanlah a.

Pertanyaan

Sederhanakanlah

a. open parentheses fraction numerator 2 to the power of 5 cross times 3 to the power of 4 over denominator 2 cubed cross times 3 squared end fraction close parentheses squared

Pembahasan Soal:

Ingat sifat eksponen berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell a to the power of m times a to the power of n end cell equals cell a to the power of m plus n end exponent end cell row cell a to the power of m over a to the power of n end cell equals cell a to the power of m minus n end exponent end cell row cell open parentheses a to the power of m close parentheses to the power of n end cell equals cell a to the power of m times n end exponent end cell end table

Jika open parentheses fraction numerator 2 to the power of 5 cross times 3 to the power of 4 over denominator 2 cubed cross times 3 squared end fraction close parentheses squared, maka

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 2 to the power of 5 cross times 3 to the power of 4 over denominator 2 cubed cross times 3 squared end fraction close parentheses squared end cell equals cell fraction numerator open parentheses 2 to the power of 5 close parentheses squared cross times open parentheses 3 to the power of 4 close parentheses squared over denominator open parentheses 2 cubed close parentheses squared cross times open parentheses 3 squared close parentheses squared end fraction end cell row blank equals cell fraction numerator 2 to the power of 10 cross times 3 to the power of 8 over denominator 2 to the power of 6 cross times 3 to the power of 4 end fraction end cell row blank equals cell 2 to the power of 10 over 2 to the power of 6 times 3 to the power of 8 over 3 to the power of 4 end cell row blank equals cell 2 to the power of 10 minus 6 end exponent times 3 to the power of 8 minus 4 end exponent end cell row blank equals cell 2 to the power of 4 times 3 to the power of 4 end cell row blank equals cell open parentheses 2 times 3 close parentheses to the power of 4 end cell row blank equals cell 6 to the power of 4 end cell end table

Jadi, bentuk sederhana dari open parentheses fraction numerator 2 to the power of 5 cross times 3 to the power of 4 over denominator 2 cubed cross times 3 squared end fraction close parentheses squared adalah 6 to the power of 4.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 26 Juli 2021

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