Jawaban:
1) a^7
2) m^2 n^10
3) 8 b^3 / a^3
4) 8 a b^2
Penjelasan dengan langkah-langkah:
1. (a^-3/a^4)^-1 = (a^-3-4)^-1
= (a^-7)^-1
= a^-7×(-1)
= a^7
2. 8m^5 n^4 / (2 m n^-2)^3
= 8 m^5 n^4 / (2^3 m^3 (n^-2)^3
= 8 m^5 n^4 / (8 m^3 n^-6)
= m^5 n^4 / (m^3 n^-6)
= (m^5-3) (n^4-(-6))
= m^2 n^10
3. (2 a^5 b / 16 a^2 b^4)^-1
= (2 a^5-2 b / 16 b^4)^-1
= (2 a^3 b / 16 b^4)^-1
= (2 a^3 / 16 b^4-1)^-1
= (2 a^3 / 16 b^3)^-1
= (a^3 / 8 b^3)^-1
= 8 b^3 / a^3
4. (8 a^-6 b^3)^1/3 / (2^4 a^6 b^2)^-1/2
= 8^1/3 (a^-6)^1/3 (b^3)^1/3 / (2^4)^-1/2 (a^6)^-1/2
(b^2)^-1/2
= 8^1/3 a^-2 b / 2^-2 a^-3 b^-1
= (2^3)^1/3 a^-2 b / 2^-2 a^-3 b^-1
= 2 a^-2 b / 2^-2 a^-3 b^-1
= 2 a^-2-(-3) b^1-(-1) / 2^-2
= 2 a b^2 / 2^-2
= 2^1-(-2) a b^2
= 2^3 a b^2
= 8 a b^2
note: tanda ^ artinya pangkat
semoga membantu :)
semoga bisa membantu anda
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Verified answer
Jawaban:
1) a^7
2) m^2 n^10
3) 8 b^3 / a^3
4) 8 a b^2
Penjelasan dengan langkah-langkah:
1. (a^-3/a^4)^-1 = (a^-3-4)^-1
= (a^-7)^-1
= a^-7×(-1)
= a^7
2. 8m^5 n^4 / (2 m n^-2)^3
= 8 m^5 n^4 / (2^3 m^3 (n^-2)^3
= 8 m^5 n^4 / (8 m^3 n^-6)
= m^5 n^4 / (m^3 n^-6)
= (m^5-3) (n^4-(-6))
= m^2 n^10
3. (2 a^5 b / 16 a^2 b^4)^-1
= (2 a^5-2 b / 16 b^4)^-1
= (2 a^3 b / 16 b^4)^-1
= (2 a^3 / 16 b^4-1)^-1
= (2 a^3 / 16 b^3)^-1
= (a^3 / 8 b^3)^-1
= 8 b^3 / a^3
4. (8 a^-6 b^3)^1/3 / (2^4 a^6 b^2)^-1/2
= 8^1/3 (a^-6)^1/3 (b^3)^1/3 / (2^4)^-1/2 (a^6)^-1/2
(b^2)^-1/2
= 8^1/3 a^-2 b / 2^-2 a^-3 b^-1
= (2^3)^1/3 a^-2 b / 2^-2 a^-3 b^-1
= 2 a^-2 b / 2^-2 a^-3 b^-1
= 2 a^-2-(-3) b^1-(-1) / 2^-2
= 2 a b^2 / 2^-2
= 2^1-(-2) a b^2
= 2^3 a b^2
= 8 a b^2
note: tanda ^ artinya pangkat
semoga membantu :)
Penjelasan dengan langkah-langkah:
semoga bisa membantu anda