60.10 mũ 20 : 6.10 mũ 6 bằng mấy vậy
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\(\left(\frac{15}{7}\right)^2+\left(\frac{20}{7}\right)^2=\frac{225}{49}+\frac{400}{49}=\frac{625}{49}\)
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THEO ĐỀ BÀI TA CÓ
1^2+2^2+3^2+...+10^2=385
MÀ 2^2+4^2+....+20^2=2(1^2+2^2+....+10^2)=2.385=770
VẬY 2^2+2^4+....+20^2=770
![](https://rs.olm.vn/images/avt/0.png?1311)
Gỉa sử: \(x^2=128\)
\(\Rightarrow\orbr{\begin{cases}x=\sqrt{128}\\x=-\sqrt{128}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=8\sqrt{2}\\x=-8\sqrt{2}\end{cases}}\)
\(\Rightarrow128=\left(\pm8\sqrt{2}\right)^2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{4^{20}}{6^{20}}-\frac{2^{20}}{3^{20}}+\frac{6^{20}}{9^{20}}=\left(\frac{2}{3}\right)^{20}-\left(\frac{2}{3}\right)^{20}+\left(\frac{2}{3}\right)^{20}=\left(\frac{2}{3}\right)^{20}\)
\(60.10^{20}:6.10^6=6.10^{21}:6.10^6\)
\(=6.\left(10^{21}:10^6\right)\)
\(=6.10^{15}\)