Question

a) 0,5³×0,5⁷
b) (2⁵)-²
c) (0,25-¹)-⁴
d) 5-⁹:5-¹¹
e) 4:4-⁴
f) 6⁵:3⁵
g) 10¹⁰:5¹⁰
h) 6³×2-⁵
i) 10⁴×5-²

Dokładne obliczenia​

Answer 1

Odpowiedź:

[tex]a)0.5 {}^{3} \times {0.5}^{7} = {0.5}^{10} = \frac{1}{1024} \\ b)( {2}^{5} ) {}^{ - 2} = {2}^{ - 10} = \frac{1}{1024} \\ c)( {0.25}^{ - 1} ) {}^{ - 4} = 0.25 {}^{4} = \frac{1}{256} \\ d) {5}^{ - 9} \ {5}^{ - 11} = {5}^{2} = 25 \\ e)4 \div {4}^{ - 4} = {4}^{5} = 1024 \\ f) {6}^{5} \div 3 {}^{5} = {2}^{5} = 32 \\ g) {10}^{10} \div {5}^{10} = {2}^{10} = 1024 \\ h) {6}^{3} \times {2}^{ - 5} = {3}^{3} \times {2}^{3} \times \frac{1}{ {2}^{5} } = { 3}^{3} \times \frac{1}{ {2}^{2} } = 27 \times \frac{1}{4} = \frac{27}{4} = 6 \times \frac{3}{4} \\ i) {10}^{4} \times {5}^{ - 2} = {2}^{4} \times {5}^{4} \times \frac{1}{ {5}^{2} } = {2}^{4} \times {5}^{2} = 16 \times 25 = 400[/tex]