Oblicz sprytnie:
a) 1,5^4 x 2^5 =
b) 0,4^6 x 5^5 =
c) (7/3)^8 x (3/7)^10 =
d) 1,2^5 : 0,6^6


Odpowiedź :

Odpowiedź:

a)) 1,5^4 x 2^5 =162

b)0,4^6 x 5^5 =12,8

c)(7/3)^8 x (3/7)^10 =9/49

d)1,2^5 : 0,6^6=53 1/3

Cześć!

Szczegółowe wyjaśnienie:

a)

[tex]1.5 {}^{4} \cdot2 {}^{5} = 2 \cdot3 {}^{4} = 2 \cdot81 = 162[/tex]

b)

[tex]0.4 {}^{6} \cdot5 {}^{5} = 0.4 \cdot2 {}^{5} = 0.4 \cdot32 = 12.8[/tex]

c)

[tex]( \frac{7}{3} ) {}^{8} \cdot( \frac{3}{7} ) {}^{10} = ( \frac{7}{3} ) {}^{8} \cdot( \frac{3}{7} ) {}^{ - 10} = ( \frac{7}{3} ) {}^{ - 2} = ( \frac{3}{7} ) {}^{2} = \frac{9}{49} [/tex]

d)

[tex]1.2 {}^{5} \div 0.6 {}^{6} = ( \frac{6}{5} ) {}^{5} \div ( \frac{3}{5} ) {}^{6} = \frac{7776}{3125} \div \frac{729}{15625} = \frac{7776}{3125} \cdot \frac{15625}{729} = 32 \cdot \frac{5}{3} = \frac{160}{3} = 53 \frac{1}{3} [/tex]