Pertanyaan

Tentukan nilai dari: a. { ( − 6 ) 2 + ( − 2 ) 3 ⋅ 3 + 8 } ÷ 2 − 1

Tentukan nilai dari:

a. ${(- 6)^{2} + (- 2)^{3} \cdot 3 + 8} \div 2^{- 1}$

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Jawaban terverifikasi

Jawaban

nilai dari adalah .

nilai dari open curly brackets open parentheses negative 6 close parentheses squared plus open parentheses negative 2 close parentheses cubed times 3 plus 8 close curly brackets divided by 2 to the power of negative 1 end exponent

open curly brackets open parentheses negative 6 close parentheses squared plus open parentheses negative 2 close parentheses cubed times 3 plus 8 close curly brackets divided by 2 to the power of negative 1 end exponent

adalah

Pembahasan

Ingatlah sifat bilangan berpangkat sebagai berikut. Berdasarkan sifat di atas, maka: Dengan demikian, nilai dari adalah .

Ingatlah sifat bilangan berpangkat sebagai berikut.

open parentheses a times b close parentheses to the power of m equals a to the power of m times b to the power of m

Berdasarkan sifat di atas, maka:

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open curly brackets open parentheses negative 6 close parentheses squared plus open parentheses negative 2 close parentheses cubed times 3 plus 8 close curly brackets divided by 2 to the power of negative 1 end exponent end cell row blank equals cell fraction numerator open curly brackets open parentheses negative 6 close parentheses squared plus open parentheses negative 2 close parentheses cubed times 3 plus 8 close curly brackets over denominator 2 to the power of negative 1 end exponent end fraction end cell row blank equals cell fraction numerator open curly brackets open parentheses negative 2 times 3 close parentheses squared plus open parentheses negative 2 close parentheses cubed times 3 plus 2 cubed close curly brackets over denominator begin display style 1 half end style end fraction end cell row blank equals cell 2 open curly brackets open parentheses negative 2 close parentheses squared times 3 squared plus open parentheses negative 2 close parentheses cubed times 3 plus 2 cubed close curly brackets end cell row blank equals cell 2 open curly brackets open parentheses negative 2 close parentheses squared open parentheses 3 squared plus open parentheses negative 2 close parentheses times 3 close parentheses plus 2 cubed close curly brackets end cell row blank equals cell 2 open curly brackets 4 open parentheses 9 minus 6 close parentheses plus 8 close curly brackets end cell row blank equals cell 2 open curly brackets 4 open parentheses 3 close parentheses plus 8 close curly brackets end cell row blank equals cell 2 open parentheses 12 plus 8 close parentheses end cell row blank equals cell 2 open parentheses 20 close parentheses end cell row blank equals 40 end table$

Dengan demikian, nilai dari open curly brackets open parentheses negative 6 close parentheses squared plus open parentheses negative 2 close parentheses cubed times 3 plus 8 close curly brackets divided by 2 to the power of negative 1 end exponent adalah .