1. Tính giá trị các biểu thức sau:
a) \(2^{15}\cdot9^4\) trên \(6^6\cdot8^3\)=.......
b) \(3^{10}\cdot11+3^{10}\cdot5\) trên \(3^9\cdot2^4\)= ........
c) \(8^{20}+4^{20}\) trên \(4^{25}+64^{25}\)=.......
d) \(2^{30}\cdot5^7+2^{13}\cdot5^{27}\) trên \(2^{27}\cdot5^7+2^{10}\cdot5^{27}\)=.......
giúp với nha , nhớ trả lời đây đủ
a,
\(=\frac{2^{15}\cdot\left(3^2\right)^4}{\left(2\cdot3\right)^6\cdot\left(2^3\right)^3}\)
\(=\frac{2^{15}\cdot3^8}{2^6\cdot3^6\cdot2^9}\)
\(=\frac{2^{15}\cdot3^6\cdot3^2}{2^{15}\cdot3^6}\)
\(=\frac{3^2}{1}=3^2=9\)
b,
\(=\frac{3^{10}\cdot\left(11+5\right)}{3^9\cdot2^4}\)
\(=\frac{3^{10}\cdot16}{3^9\cdot2^4}\)
\(=\frac{3^9\cdot3\cdot2^4}{3^9\cdot2^4}\)
\(=\frac{3}{1}=3\)
\(=\frac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^{25}}\)
\(=\frac{2^{60}+2^{40}}{2^{50}+2^{150}}\)
\(=\frac{2^{40}\cdot2^{20}+2^{40}}{2^{50}+2^{50}\cdot2^{100}}\)
\(=\frac{2^{40}\cdot\left(2^{20}+1\right)}{2^{50}\cdot\left(2^{100}+1\right)}\)
d,
\(=\frac{2^{13}\cdot2^{17}\cdot5^7+2^{13}\cdot5^{27}}{2^{10}\cdot2^{17}\cdot5^7+2^{10}\cdot5^{27}}\)
\(=\frac{2^{13}\cdot\left(2^{17}\cdot5^7+5^{27}\right)}{2^{10}\cdot\left(2^{17}\cdot5^7+5^{27}\right)}\)
\(=\frac{2^{13}}{2^{10}}=\frac{2^3}{1}=2^3=8\)