Operasi Bentuk Pangkat
Beberapa sifat operasi pangkat:
Pertanyaan:
Sederhanakan:
c. p¹² ÷ p⁷
d. (p⁵)³
e. ((p²)³ × p⁵)/((p⁵)² ÷ p)
Langkah Penyelesaian dan Jawaban:
p¹² ÷ p⁷ = p¹²⁻⁷
∴ p¹² ÷ p⁷ = p⁵
(p⁵)³ = p⁵⁽³⁾
∴ (p⁵)³ = p¹⁵
((p²)³ × p⁵)/((p⁵)² ÷ p) = (p⁶ × p⁵)/(p¹⁰ ÷ p)
((p²)³ × p⁵)/((p⁵)² ÷ p) = (p⁶⁺⁵)/(p¹⁰⁻¹)
((p²)³ × p⁵)/((p⁵)² ÷ p) = p¹¹/p⁹
((p²)³ × p⁵)/((p⁵)² ÷ p) = p¹¹⁻⁹
∴ ((p²)³ × p⁵)/((p⁵)² ÷ p) = p²
Hope this answer will help you :)
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Operasi Bentuk Pangkat
Beberapa sifat operasi pangkat:
Pertanyaan:
Sederhanakan:
c. p¹² ÷ p⁷
d. (p⁵)³
e. ((p²)³ × p⁵)/((p⁵)² ÷ p)
Langkah Penyelesaian dan Jawaban:
c. p¹² ÷ p⁷
p¹² ÷ p⁷ = p¹²⁻⁷
∴ p¹² ÷ p⁷ = p⁵
d. (p⁵)³
(p⁵)³ = p⁵⁽³⁾
∴ (p⁵)³ = p¹⁵
e. ((p²)³ × p⁵)/((p⁵)² ÷ p)
((p²)³ × p⁵)/((p⁵)² ÷ p) = (p⁶ × p⁵)/(p¹⁰ ÷ p)
((p²)³ × p⁵)/((p⁵)² ÷ p) = (p⁶⁺⁵)/(p¹⁰⁻¹)
((p²)³ × p⁵)/((p⁵)² ÷ p) = p¹¹/p⁹
((p²)³ × p⁵)/((p⁵)² ÷ p) = p¹¹⁻⁹
∴ ((p²)³ × p⁵)/((p⁵)² ÷ p) = p²
Hope this answer will help you :)