Question

10 de puncte și coronițaaa
Efectuati ridicarea la putere:a) (6/7)²;b)(-3/4)³c)(4/5)⁴d)(3⁴•5³/2 la puterea 5/2la puterea 5)²

Answer 1

a) $( \frac{6}{7} )^{2} = \frac{6^{2}}{7^{2}} = \frac{36}{49}$
b) $(\frac{-3}{4})^{3} = \frac{(-3)^{3}}{4^{3}}= \frac{-27}{64}$
c)$(\frac{4}{5} )^{4} = \frac{4^{4}}{5^{4}} = \frac{256}{625}$
d)$(\frac{ 3^4*5^3 }{2^5})^{2}=( \frac{3^3*3*5^3}{2^5})^2 =( \frac{15^3*3}{2^5})^2= (\frac{15^3*3*15^3*3}{2^5*2^5}) = (\frac{15^6*3^2}{2^{10}} ) = \frac{3^6*5^6*3^2}{2^{10}}=$$= \frac{3^8*5^6}{2^{10}}$