Bài 3:
a: \(x^{24}=\left(x^2\right)^{12}\)
b: \(x^{24}=\left(x^{4\cdot6}\right)=\left(x^4\right)^6\)
c: \(x^{24}=x^{6\cdot4}=\left(x^6\right)^4\)
Bài 1:
a: \(\left(\dfrac{1}{2}\right)^5\cdot\left(\dfrac{1}{2}\right)^3=\left(\dfrac{1}{2}\right)^{5+3}=\dfrac{1}{2^8}=\dfrac{1}{128}\)
b: \(\left(-0,1\right)^5\cdot\left(-0,1\right)^{10}=\left(-0,1\right)^{5+10}=\left(-0,1\right)^{15}\)
c: \(\left(\dfrac{1}{3}\right)^5\cdot\left(\dfrac{1}{9}\right)^2=\left(\dfrac{1}{3}\right)^5\cdot\left(\dfrac{1}{3}\right)^4=\dfrac{1}{3^9}\)
d: \(\dfrac{4}{25}\cdot\left(-\dfrac{2}{5}\right)^3=\dfrac{4}{25}\cdot\dfrac{-8}{125}=\dfrac{-32}{3125}\)
f: \(\left(-\dfrac{1}{2}\right)^8:\left(-\dfrac{1}{2}\right)^7=\left(-\dfrac{1}{2}\right)^{8-7}=-\dfrac{1}{2}\)
g: \(\left(\dfrac{1}{9}\right)^2:\left(\dfrac{1}{3}\right)^3=\left(\dfrac{1}{3}\right)^4:\left(\dfrac{1}{3}\right)^3=\dfrac{1}{3}\)
h: \(\left(-\dfrac{4}{9}\right)^7:\dfrac{16}{81}=\left(-\dfrac{4}{9}\right)^7:\left(-\dfrac{4}{9}\right)^2=\left(-\dfrac{4}{9}\right)^5\)
i: \(\left[\left(\dfrac{1}{2}\right)^4\right]^2=\left(\dfrac{1}{2}\right)^{4\cdot2}=\left(\dfrac{1}{2}\right)^8=\dfrac{1}{2^8}\)
k: \(\left[\left(-\dfrac{1}{4}\right)^2\right]^3=\left(\dfrac{1}{16}\right)^3=\dfrac{1}{16^3}\)
n: \(\left[\left(0,1\right)^2\right]^5=\left(0,1\right)^{2\cdot5}=\left(0,1\right)^{10}\)
o: \(\left(\dfrac{2}{5}\right)^{10}\cdot5^{10}=\dfrac{2^{10}}{5^{10}}\cdot5^{10}=2^{10}\)
u: \(\left(-125\right)^3:25^3=\left(-\dfrac{125}{25}\right)^3=\left(-5\right)^3\)
s: \(\left(0,04\right)^3\cdot100^3=\left(0,04\cdot100\right)^3=4^3\)
