Question

5. Determinați numărul natural n din egalitatea:

$( \frac{2}{3} ) {}^{n} \div \frac{4}{3} \:egal \: \frac{2}{9}$
6. Se consideră fracția ordinară a=
$1 \frac{4}{5} \div \frac{6}{5} - (1 \frac{1}{4} )^{2} \times \frac{56}{75} . calculati \: {a}^{3} \div ( \frac{2}{3} ) ^{2} .$
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Answer 1

Ai rezolvarea în poză!

Answer 2

Răspuns:

(2/3)ⁿ:4/3=2/9

(2/3)ⁿ=2/9·4/3

(2/3)ⁿ=8/27

(2/3)ⁿ=(2/3)³

n=3

____________

a=(1·5+4)/5:6/5-[(1·4+1)/4]²·56/75

a=9/5·5/6-(5/4)²·56/75

a=3/2-25/16·56/75

a=³⁾3/2-7/6

a=9/6-7/6

a=2/6

a=1/3

a³:(2/3)²=(1/3)³:(2/3)²=1/27:4/9=1/27·9/4=1/4=1/12