tentukan hasil perpangkatan berikut! a.(2/7)-³ b.((1/5)²)-²
( 2/7 )-³
= ( 7/2 )³
= ( 7/2 ) . ( 7/2 ) . ( 7/2 )
= ( 7.7.7 )/( 2.2.2 )
= 343/8
= 42 7/8
(( 1/5 )²)-²
= ( 1/5 )^2 × ( -2 )
= ( 1/5 )-⁴
= ( 5/1 )⁴
= 5⁴
= (5.5.5.5)
= 25 × 25
= 625
Penjelasan dengan langkah-langkah:
Rumus → [tex]{(\frac{a}{b})}^{-n} = {(\frac{b}{a})}^n[/tex]
Nomor A
[tex] = {( \frac{2}{7} )}^{ - 3} [/tex]
[tex] = {( \frac{7}{2} )}^{3} [/tex]
[tex] = \frac{ {7}^{3} }{ {2}^{3} } [/tex]
[tex] = \frac{7 \times 7 \times 7}{2 \times 2 \times 2} [/tex]
[tex] = \frac{343}{8} [/tex]
[tex] \: [/tex]
Nomor B
[tex] = { ({( \frac{1}{5} )}^{2} )}^{ - 2} [/tex]
[tex] = {( \frac{1}{5} )}^{2 \times ( - 2)} [/tex]
[tex] = {( \frac{1}{5} )}^{ - 4} [/tex]
[tex] = {( \frac{5}{1} )}^{4} [/tex]
[tex] = {5}^{4} [/tex]
[tex] = 625[/tex]
[answer.2.content]
