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a: \(2^6\cdot3^3=\left(2^2\cdot3\right)^3=12^3\)
b: \(6^4\cdot8^3=2^4\cdot3^4\cdot2^9=2^{13}\cdot3^4\)
c: \(16\cdot81=36^2\)
d: \(25^4\cdot2^8=100^4\)
1/4×1/16×1/32=\(\frac{1}{2^2}\)x \(\frac{1}{2^4}\)x \(\frac{1}{2^6}\)=\(\frac{1}{2^{12}}\)
Ta có :
\(\frac{1}{4}.\frac{1}{16}.\frac{1}{32}=\frac{1}{2^2}.\frac{1}{2^4}.\frac{1}{2^5}=\frac{1}{2^{11}}=\frac{1^{11}}{2^{11}}=\left(\frac{1}{2}\right)^{11}\)
Chúc bạn học tốt ~
a) \(64^2\cdot32^4=2^{16}\cdot2^{20}=2^{36}\)
b) \(11^{16}\cdot5^{24}=\left(11^4\right)^4\cdot\left(5^6\right)^4=\left(11^4\cdot5^6\right)^4\)
a)642.324=(26)2.(25)4=212.220=232
b)1116.524(ko phân tích đc nữa)
\(\frac{25.5^3.1}{625.5^2}=\frac{5^2.5^3}{5^4.5^2}=\frac{1}{5}\)
các câu sau mk k hiểu bn viết j
\(-\dfrac{8}{27}=\left(-\dfrac{2}{3}\right)^3\)
\(\dfrac{81}{625}=\left(\dfrac{3}{5}\right)^4\)
\(\dfrac{25}{49}=\left(\dfrac{5}{7}\right)^2\)
\(\frac{32\cdot2^4}{2^2\cdot\frac{1}{16}}\)
\(=\frac{2^5\cdot2^4}{\frac{4}{16}}\)
\(=\frac{2^9}{\frac{1}{4}}\)
\(=2^9\cdot4\)
\(=2^9\cdot2^2\)
\(=2^{11}\)
A)4x2^5:(2^3.1/16)=2^2.2^5:(8.1/16)=2^7:1/2=2^7.2=2^8
B)3^2.2^5.(2/3)^2=3^2.2^5.4/9=2^5.9.4/9=2^5.4=2^5.2^2=2^7
C) 9.3^3.1/81.3^2=3^3.9.9.1/81=3^3.81.1/81=3^3