Pertanyaan

Nyatakan dalam bentuk pangkat positif. f. ( 2 a ) − 3 ÷ ( 4 a ) 2

Nyatakan dalam bentuk pangkat positif.

f. $(2 a)^{- 3} \div (\frac{a}{4})^{2}$

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Pembahasan

Ingat! Sifat bilangan berpangkat Sehingga, Dengan demikian, dinyatakan dalam pangkat positif menjadi .

Ingat!

Sifat bilangan berpangkat

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

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

a to the power of negative m end exponent equals 1 over a to the power of m

a to the power of m cross times a to the power of n equals a to the power of m plus n end exponent

Sehingga,

$table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis 2 a right parenthesis to the power of negative 3 end exponent divided by open parentheses a over 4 close parentheses squared end cell equals cell 2 to the power of negative 3 end exponent cross times a to the power of negative 3 end exponent divided by a squared over 4 squared end cell row blank equals cell 2 to the power of negative 3 end exponent cross times a to the power of negative 3 end exponent cross times 4 squared over a squared end cell row blank equals cell 1 over 2 cubed cross times 1 over a cubed cross times 16 over a squared end cell row blank equals cell 1 over 8 cross times 1 over a cubed cross times 16 over a squared end cell row blank equals cell fraction numerator 16 over denominator 8 a cubed a squared end fraction end cell row blank equals cell fraction numerator 16 over denominator 8 a to the power of 3 plus 2 end exponent end fraction end cell row blank equals cell 2 over a to the power of 5 end cell row blank blank blank end table$

Dengan demikian, table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis 2 a right parenthesis to the power of negative 3 end exponent divided by open parentheses a over 4 close parentheses squared end cell end table dinyatakan dalam pangkat positif menjadi 2 over a to the power of 5 .