m + 2m = 3
4²ⁿ × 16⁻¹ = 4¹⁸⁺⁶ⁿ
maka nilai n÷(-m) = ....
Jawaban:
n ÷ (-m) = 5
Penjelasan dengan langkah-langkah:
m + 2m = 3
3m = 3
m = 1
[tex] {4}^{2n} \times {16}^{ - 1} = {4}^{18 + 6n} \\ {( {2}^{2} )}^{2n} \times ( {2}^{4}) {}^{ - 1} = ({2}^{2}) {}^{18 + 6n} \\ {2}^{4n} \times {2}^{ - 4} = {2}^{36 + 12 n} \\ {2}^{4n - 4} = {2}^{36 + 12n} \\ 4n - 4 = 36 + 12n \\ -8n = 40 \\ n = -5 [/tex]
nilai dari n ÷ (-m)
= -5 ÷ (-1)
= -5 × -1
= 5
Menentukan nilai m:
[tex] \rm \: m + 2m = 3[/tex]
[tex] \rm \: (2 + 1)m = 3[/tex]
[tex] \rm \: 3m = 3[/tex]
[tex] \rm \: m = \frac{3}{3} [/tex]
[tex] \boxed{ \rm \: m = 1}[/tex]
....
Menentukan nilai n:
[tex] \rm {4}^{2n} \times {16}^{ - 1} = {4}^{18 + 6n} [/tex]
[tex] \rm {4}^{2n} \times { {(4}^{2} )}^{ - 1} = {4}^{18 + 6n} [/tex]
[tex] \rm {4}^{2n} \times {4}^{ - 2} = {4}^{18 + 6n} [/tex]
[tex] \rm {4}^{2n - 2} = {4}^{18 + 6n} [/tex]
[tex] \rm2n - 2 = 18 + 6n[/tex]
[tex] \rm2n - 6n= 18 +2[/tex]
[tex] \rm - 4n= 20[/tex]
[tex] \rm \: n = \frac{20}{ - 4} [/tex]
[tex] \boxed{ \rm \: n = - 5}[/tex]
....
Menentukan nilai n ÷(-m):
n ÷ (-m)
= -5 ÷ (-1)
= 5 ÷ 1
= 5
[answer.2.content]
