1. Tính
a/ 4mũ2 * 2
b/ 36mũ2 : 6mũ2
c/ (2/5)mũ10 : (4/25)mũ2
2.Viết các biểu thức số sau dưới dạng a ( a€Q,n€N)
a/ 8 * 2mũ3 * 1/16 * 2mũ2
b/ 25 * 5mũ6 : (5mũ2 * 1/125)
c/ 5mũ2 * 2mũ5 * (2/5)
d/ (1/7)mũ3 * 1/7 * 49mũ2
3. Tìm x, biết
a/ x : (-1/3)mũ5 = (-1/3)mũ3
b/ (2/3)mũ16 * x = (2/3)mũ18
. Ai biết câu nào thì chỉ mình câu đó nha 😘
1)Tính:
a)\(4^2\cdot2=\left(2^2\right)^2\cdot2=2^4\cdot2=2^5=32\)
b)\(36^2:6^2=\left(36:6\right)^2=6^2=48\)
c)\(\left(\frac{2}{5}\right)^{10}:\left(\frac{4}{25}\right)^2=\left(\frac{2}{5}\right)^{10}\cdot\left(\frac{25}{4}\right)^2=\)\(\left(1\right)^{10}\cdot\left(\frac{5}{2}\right)^2=1\cdot\frac{5^2}{2^2}=1\cdot\frac{25}{4}=\frac{25}{4}\)
a
\(4^2.2=16.2=32\)
b\(36^2:6^2=36.36:6.6=36.36:36=36\)
c
3)
a)\(x:\left(-\frac{1}{3}\right)^5=\left(-\frac{1}{3}\right)^3\)
\(x=\left(-\frac{1}{3}\right)^3\cdot\left(-\frac{1}{3}\right)^5\)
\(x=\left(-\frac{1}{3}\right)^8\)
b)\(\left(\frac{2}{3}\right)^{16}\cdot x=\left(\frac{2}{3}\right)^{18}\)
\(x=\left(\frac{2}{3}\right)^{18}:\left(\frac{2}{3}\right)^{16}\)
\(x=\left(\frac{2}{3}\right)^2\)
\(x=\frac{2^2}{3^2}\)
\(x=\frac{4}{9}\)
