a. 2^5 × 2^9 × 2^12
b. 2^5 × 3^6 × 4^6
c. 2^5 × 3^5 × 4^2 / 12^2
d. (-5)^6 × 25^2 / 125
e. 3^7 × 7^3 × 2 / (42)^3
Sederhanakanlah hasil operasi bilangan berpangkat berikut.
A. 2^5 × 2^9 × 2^12 = 2^26
b. 2^5 × 3^6 × 4^6 = 2^5 x 3^6 x (2^2)^6
= 2^5 x 3^6 x 2^12
= 2^17 x 3^6
c. 2^5 × 3^5 × 4^2 = 2^5 × 3^5 × (2^2)^2 = 2^5 × 3^5 × 2^4
12^2 3 x 2^2 3 x 2^2
= 2^(5+4-2) x 3^(5-1)
= 2^7 x 3^4
d. (-5)^6 × 25^2 = 5^6 x (5^2)^2 = 5^6 x 5^4 = 5^(6+4-3) = 5^7
125 5^3 5^3
e. 3^7 × 7^3 × 2 = 3^7 x 7^3 x 2 = 3^7 x 7^3 x 2 = 2^(1-2) x 3^(7-3) x 7^(3-3)
(42)^3 (2 x 3 x 7)^3 2^2 x 3^3 x 7^3
= 2^-1 x 3^4 x 7^0
= 1/2 x 3^4