Nilai dari 1/8⁸:1/4⁵×1/2² adalah......
a.2^-10 c.2^-15
b.2^-12 d.2^-16
caranya juga ya. :)
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a.2^-10 c.2^-15
b.2^-12 d.2^-16
caranya juga ya. :)
Jawaban:
d. 2^(-16)
Penjelasan dengan langkah-langkah:
–Eksponen (perpangkatan)
Ingat sifat:
- (a^m)^n = a^(m × n)
- a^m ÷ a^n = a^(m - n)
- a^m × a^n = a^(m + n)
Maka:
[tex] {( \frac{1}{8} })^{8} \div {( \frac{1}{4} })^{5} \times {( \frac{1}{2} })^{2} [/tex]
[tex] = ({2}^{ - 3} ) {}^{8} \div ( {2}^{ - 2} ) {}^{5} \times ({2}^{ - 1} ) {}^{2} [/tex]
[tex] = {2}^{ - 3 \times 8} \div {2}^{ - 2 \times 5} \times {2}^{ - 1 \times 2} [/tex]
[tex] = {2}^{ - 24} \div {2}^{ - 10} \times {2}^{ - 2} [/tex]
[tex] = {2}^{ - 24 - ( - 10)} \times {2}^{ - 2} [/tex]
[tex] = {2}^{ - 24 + 10} \times {2}^{ - 2} [/tex]
[tex] = {2}^{ - 14} \times {2}^{ - 2} [/tex]
[tex] = {2}^{ - 14 + ( - 2)} [/tex]
[tex] \bf = {2}^{ - 16} [/tex]
