Question

a) n la puterea 2=2 la puterea 4×5 la puterea 6
b) n la puterea 3=27
c) n la puterea 3=7 la puterea 3×5 la puterea 6 răspuns urgent va rog

Answer 1

a)
n^2=2^4x5^6
n^2=16x15625
n^2=250000
n=√250000
n=500
daca e negativ cand se face ^2 se transforma in pozitiv deci n poate fi
solutia 1: n=500
solutia 2: n=-500
b)
n^3=27
n=3
c)
n^3=7^3x5^6
n^3=343x15625
n^3=5359375
n=175

Answer 2

 [tex]a)...\;n^2=2^5\cdot5^6\Rightarrow\;\;n^2=2\cdot(2^4\cdot5^6)=\\ =2\cdot25(2\cdot5)^4\,\Rightarrow\;n=500\sqrt{2}\\ b)...\;n^3=27=3^3\;\Rightarrow\;n=3\;;\\ c)...\;n^3=7^3\cdot5^6=(7\cdot5)^3\cdot5^2\;\Leftrightarrow\;n=35 \sqrt[3]{25} [/tex]