Penjelasan dengan langkah-langkah:
2. a. (3⁴)² = 3^p
4 × 2 = p
p = 8.
b. b^p × b⁵ = b⁹
p + 5 = 9
p = 9 - 5
p = 4.
c. (3π)^p = 27π³
(3π)^p = 3³ × π³
(3π)^p = (3 × π)³
(3π)^p = (3π)³
p = 3.
3. a. (2⁴ × 3⁶)³/(2³ × 3²)³
(2¹² × 3¹⁸)/(2⁹ × 3⁶)
2^(12 - 9) × 3^(18 - 6)
2³ × 3¹²
b. (3u³v⁵)(9u⁴v)
(3¹u³v⁵)(3²u⁴v)
3^(1 + 2) × u^(3 + 4) × v^(5 + 1)
3³ × u⁷ × v⁶
3³u⁷v⁶
c. (n^(-1)r⁴)²/(5n^(-6)r⁴)²
(n^(-2)r⁸)/(5n^(-12)r⁸)
1/5 × n^(-2 - (-12))
⅕ × n^(-2 + 10)
⅕ × n⁸
n⁸/5.
Semoga membantu.
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Penjelasan dengan langkah-langkah:
2. a. (3⁴)² = 3^p
4 × 2 = p
p = 8.
b. b^p × b⁵ = b⁹
p + 5 = 9
p = 9 - 5
p = 4.
c. (3π)^p = 27π³
(3π)^p = 3³ × π³
(3π)^p = (3 × π)³
(3π)^p = (3π)³
p = 3.
3. a. (2⁴ × 3⁶)³/(2³ × 3²)³
(2¹² × 3¹⁸)/(2⁹ × 3⁶)
2^(12 - 9) × 3^(18 - 6)
2³ × 3¹²
b. (3u³v⁵)(9u⁴v)
(3¹u³v⁵)(3²u⁴v)
3^(1 + 2) × u^(3 + 4) × v^(5 + 1)
3³ × u⁷ × v⁶
3³u⁷v⁶
c. (n^(-1)r⁴)²/(5n^(-6)r⁴)²
(n^(-2)r⁸)/(5n^(-12)r⁸)
1/5 × n^(-2 - (-12))
⅕ × n^(-2 + 10)
⅕ × n⁸
n⁸/5.
Semoga membantu.