Question

5. Scrieți, folosind o singură putere: ​

Answer 1

Răspuns:

Explicație pas cu pas:

a)

= (3/2)⁵⁺⁷

= (3/2)¹²

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b)

=(4/10)³⁺⁵

= (4/10)⁸

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c)

2 ⁹/₇=(2*7+9)/7 =(14+9)/7=23/7

=(23/7)³⁺¹⁵

= (23/7)¹⁸

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d)

= (15/90)³⁺⁴

=(15/90)⁷

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e)

=(5/7)³⁻²

= (5/7)¹

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f)

=(125/100)⁴⁺²

= (125/100)⁶

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g)

7¹¹/₉₀= (7*90+11)/90= (630+11)/90=643/90

=( 643/90)³ˣ²

= (643/90)⁶

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h)

=1   ...............orice nr ridicat la puterea 0= 1

Answer 2

Răspuns:

$a)( \frac{3}{2} ) {}^{5} \times (\frac{3}{2} ) {}^{7} = ( \frac{3}{2} ) {}^{5 + 7} = ( \frac{3}{2} ) {}^{12} \\ b)( \frac{4}{10} ) {}^{3} \times ( \frac{4}{10} ) {}^{5} = ( \frac{4}{10} ) {}^{3 + 5} = ( \frac{4}{10} ) {}^{8} \\ c)(2 \frac{9}{7} ) {}^{3} \times (2 \frac{9}{7} ) {}^{15} = (2 \frac{9}{7} ) {}^{3 + 15} = (2 \frac{9}{7}) {}^{18} \\ d)( \frac{15}{90} ) {}^{3} \times (\frac{15}{90} ) {}^{4} = ( \frac{15}{90} ) {}^{3 + 4} = ( \frac{15}{90} ) {}^{7} \\ e) (\frac{5}{7} ) {}^{3} \div ( \frac{5}{7} ) {}^{2} = ( \frac{5}{7} ) {}^{3 - 2} = ( \frac{5}{7} ) {}^{1} = \frac{5}{7} \\ f)( \frac{125}{100} ) {}^{4} \times ( \frac{125}{100} ) {}^{2} = ( \frac{125}{100} ) {}^{4 + 2} = ( \frac{125}{100} ) {}^{6} \\ g)[(7 \frac{11}{90} ) {}^{3} ] {}^{2} = (7 \frac{11}{90} ) {}^{3 \times 2} = (7 \frac{11}{90} ) {}^{6} \\ h)[( \frac{2}{10} ) {}^{3} ] {}^{0} = ( \frac{2}{10} ) {}^{3 \times 0} = ( \frac{2}{10} ) {}^{0} = 1$

sper că te-am ajutat