Tentukan bentuk sederhana dari.. a.3²×3³ b.5³:5² c.(7⁵)³ d.(5⁴)²×5³:5⁵
Sifat-sifat bilangan berpangkat :
1. a^m×a^n = a^(m+n)
2. a^m/a^n = a^(m-n)
3. (a^m)^n = a^(m×n)
4. (ab)^m = a^m×b^m
5. (a/b)^m = (a^m)/(b^m)
Jawab
a. 3^2×3^3 = 3^(2+3) = 3^5 = 243
b. 5^3:5^2 = 5^(3-2) = 5^1 = 5
c. (7^5)^3 = 7^(5×3) = 7^15
d. (5^4)^2×5^3÷5^5 = 5^(4×2)×5^3÷5^5
= 5^(8+3-5) = 5^6