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a) \(2.4.16.32.2^4=2.2^2.2^4.2^5.2^4=2^{16}\)
b) \(\left(4.2^5\right):\left(2^3.\frac{1}{16}\right)=\left(2^2.2^5\right):\left(2^3.\left(\frac{1}{2}\right)^4\right)=2^7:\frac{1}{2}=2^8\)
c) \(9.3^3.\frac{1}{81}.27=3^2.3^3.\left(\frac{1}{3}\right)^4.3^3=3^4\)
d)\(2^2.4.\frac{32}{2^2}.2^5=2^2.2^2.2^3.2^5=2^{12}\)

a/
\(9.3^2.\frac{1}{81}.27=\frac{9.3^2.27}{81}=\frac{3^2.3^2.3^3}{3^4}=\frac{3^7}{3^4}=3^3\)
b/
\(4.32:\left(2^3.\frac{1}{16}\right)=4.32:\left(\frac{2^3}{16}\right)=4.32:\left(\frac{2^3}{2^4}\right)=4.32:\frac{1}{2}=4.32.2=4.64=4.4^3=4^4\)
c/
\(3^4.3^5:\frac{1}{27}=3^4.3^5.27=3^4.3^5.3^3=3^{12}\)
d/(ý bạn là (-2)^2 hay -2^2 , mình làm theo cách (-2)^2 nhé!)
\(2^2.4.\frac{32}{\left(-2\right)^2}.2^5=2^2.2^2.\frac{2^5}{2^2}.2^5=2^2.2^2.2^3.2^5=2^{12}\)


a) 4x32:(\(^{2^3}\)x\(\frac{1}{16}\))=\(^{2^2}\)x\(2^5\):[\(2^3\)x\(\left(\frac{1}{2}\right)^4\)] =\(2^7\):(\(2^3\)x\(2^{-4}\))=\(2^7\):\(2^{-1}\)=\(2^{7-\left(-1\right)}\)=\(2^8\)
b)\(3^4\)x\(3^5\):\(\frac{1}{27}\)=\(3^9\):\(\left(\frac{1}{3}\right)^3\)=\(3^9\):\(3^{-3}\)=\(3^{9-\left(-3\right)}\)=\(3^{12}\)
a)\(4.32:\left(2^3.\frac{1}{16}\right)=2^2.2^5:\left(2^3.\frac{1}{2^4}\right)=2^7:\frac{1}{2}=2^7.2=2^8\)
b)\(3^4.3^5:\frac{1}{27}=3^9:\frac{1}{3^3}=3^9.3^3=3^{12}\)

a) \(x^{16}=x^{10}\cdot x^6\)
b) \(x^{16}=\left(x^4\right)^4\)
c) \(x^{16}=x^{20}\div x^4\)

Minh Ánh lm sai òi
a) \(x^{16}=x^3\cdot x^{13}\)
b) \(x^{16}=\left(x^4\right)^4\)
c) \(x^{16}=x^{18}:x^2\)

a) \(\left(\frac{1}{16}\right)^{25}\div\left(\frac{1}{2}\right)^{30}=\left(\frac{1}{2^4}\right)^{25}\div\left(\frac{1}{2}\right)^{30}=\left[\left(\frac{1}{2}\right)^4\right]^{25}\div\left(\frac{1}{2}\right)^{30}=\left(\frac{1}{2}\right)^{4.25}\div\left(\frac{1}{2}\right)^{30}\)
\(=\left(\frac{1}{2}\right)^{100}\div\left(\frac{1}{2}\right)^{30}=\left(\frac{1}{2}\right)^{100-30}=\left(\frac{1}{2}\right)^{70}\)
b) \(584^{100}\div292^{100}=\left(584-292\right)^{100}=292^{100}\)
c) \(125^4\cdot16^3=\left(5^3\right)^4\cdot\left(2^4\right)^3=5^{3\cdot4}\cdot2^{4\cdot3}=5^{12}\cdot2^{12}=\left(5+2\right)^{12}=7^{12}\)
Nhanh lên nhé ai làm được mình tích cho