Question

Efectuati ridicarea la putere
a)(6pe 7 ) la puterea 2
b) (-3pe 5 ) la puterea 3
c) (4pe 5 )la puterea 4
d) (3la puterea4 ×5la puterea 3 pe 2 la puterea 5)tot asa la puterea 2
Va rog mult!!

Answer 1

Salutare!

Pentru a rezolva exercițiile date, ne amintim de formula:

• $\displaystyle{(\frac{a}{b})^{x}=\frac{a^{x}}{b^{x}}}$

Punctul a)

$\displaystyle{(\frac{6}{7})^{2}=\frac{6^{2}}{7^{2}}=\frac{36}{49}}$

Punctul b)

$\displaystyle{(\frac{-3}{5})^{3}=\frac{(-3)^{3}}{5^{3}}=\frac{-27}{125}=-\frac{27}{125} }$

Punctul c)

$\displaystyle{(\frac{4}{5})^{4}=\frac{4^{4}}{5^{4}}=\frac{ 256}{625} }$

Punctul d)

$\displaystyle{(\frac{3^{4}\times 5^{3}}{2^{5}})^{2}=(\frac{81 \times 125}{32})^{2} =(\frac{10125}{32})^{2} =\frac{10125^{2}}{32^{2}}=\frac{102515625}{1024} }$

- Lumberjack25