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`@` `\text {Ans}`
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\(3^2\cdot2^5\cdot\left(\dfrac{2}{3}\right)^2\)
`=`\(\left(3\cdot\dfrac{2}{3}\right)^2\cdot2^5\)
`=`\(2^2\cdot2^5=2^7\)
\(3^2\cdot2^5\cdot\left(\dfrac{2}{3}\right)^2\)
\(=2^5\cdot\left(3\cdot\dfrac{2}{3}\right)^2\)
\(=2^5\cdot\left(\dfrac{3\cdot2}{3}\right)^2\)
\(=2^5\cdot2^2\)
\(=2^{2+5}\)
\(=2^5\)
\(=5^2\cdot\dfrac{5}{3}\cdot\dfrac{3}{5}\cdot\dfrac{3}{5}=5^2\cdot\dfrac{3}{5}=5\cdot3=15^1\)
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: \(25^4\cdot2^8=100^4\)
3.93.272
=3.(32)3.(33)2
=31.32.3+33.2
=31+36+36
=31+6+6
=313
Trả lời:
a, \(15^8.9^4\)
\(=15^8.\left(3^2\right)^4\)
\(=15^8.3^8\)
\(=45^8\)
b, \(27^2:25^3\)
\(=\left(3^3\right)^2:\left(5^2\right)^3\)
\(=3^6:5^6\)
\(=\left(\frac{3}{5}\right)^6\)
Hok Tốt!!!!
a. 158 . 94
= 158 . (32)4
= 158.38
= (15.3)8
= 458
b. 272 : 253
= (33)2 : (52)3
= 36 : 56
= \(\left(\frac{3}{5}\right)^6\)
Ta có :
\(3.9^3.27^2=3.\left(3^2\right)^3.\left(3^3\right)^2\)
\(=3.3^6.3^6=3^{13}\)
b: \(3^4\cdot3^5:\dfrac{1}{27}==3^9\cdot3^3=3^{12}\)
\(\begin{array}{l}a){\rm{ }}\left( { - 2} \right).\left( { - 2} \right).\left( { - 2} \right) = {( - 2)^3}\\b){\rm{ }}\left( { - 0,5} \right).\left( { - 0,5} \right) = {( - 0,5)^2}\\c)\frac{1}{2}.\frac{1}{2}.\frac{1}{2}.\frac{1}{2} = {(\frac{1}{2})^4}\end{array}\)
3 \(\times\)25\(\times\) (\(\dfrac{2}{3}\))2
= \(\dfrac{2^5.2^2.3}{3^2}\)
= \(\dfrac{2^7}{3}\)
Lời giải:
\(3.2^5.(\frac{2}{3})^2=\frac{3.2^5.2^2}{3^2}=\frac{2^7}{3}=(\frac{2}{\sqrt[7]{a}})^7\).