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99 + 1 = 100
9999 + 1 = 10000
999......9 + 1 = 1000.....0 ( dưới 1000....0 là " m chữ số 0 "
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(\left(\dfrac{1}{5}\right)\cdot\left(\dfrac{1}{5}\right)^{15}=\left(\dfrac{1}{5}\right)^{1+15}=\left(\dfrac{1}{5}\right)^{16}\)
b: \(\left(-10,2\right)^{10}:\left(-10,2\right)^3=\left(-10,2\right)^{10-3}=\left(-10,2\right)^7\)
c: \(\left[\left(-\dfrac{7}{9}\right)^7\right]^8=\left(-\dfrac{7}{9}\right)^{7\cdot8}=\left(-\dfrac{7}{9}\right)^{56}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1:
a) \(4^8\cdot2^{20}=\left(2^2\right)^8\cdot2^{20}=2^{36}\)
\(64^3\cdot4^5=\left(2^6\right)^3\cdot\left(2^2\right)^5=2^{18}\cdot2^{10}=2^{28}\)
\(y\cdot y^7=y^{1+7}=y^8\)
\(a^n\cdot a^2=a^{n+2}\)
Bài 1:
b) \(10^8:2^8=5^8\)
\(17^8:17^5=17^3\)
\(2^{25}:32^4=2^{25}:2^{20}=2^5\)
\(19^4:9^4=\left(\dfrac{19}{9}\right)^4\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(0,125^3.512\)
=\(\left(\dfrac{1}{8}\right)^3.8^3\)
= \(\dfrac{1}{8^3}.8^3\)
=\(6^3\)
(0,125)3. 512
= (0,125)3. 83
= (0,125.8)3
= 13
= \(\left(\dfrac{1}{1^{ }}\right)^3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
b: \(3^4\cdot3^5:\dfrac{1}{27}==3^9\cdot3^3=3^{12}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(15^8\cdot2^4\)
\(=\left(15^2\right)^4\cdot2^4\)
\(=225^4\cdot2^4\)
\(=\left(225\cdot2\right)^4\)
\(=450^4\)
b) \(27^5:32^3\)
\(=\left(3^3\right)^5:\left(2^5\right)^3\)
\(=3^{15}:2^{15}\)
\(=\left(\dfrac{3}{2}\right)^{15}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) = (5:2)1234567 = (2,5)1234567
b) = (9:3)766676555 = 3766676555
99 +1 = 100 =102
tương tự
9999+1= 10000 = 104
999....9+1= 10....0 = 10x
Tks bạn