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a)\(3^2.9^3=9.9^3=9^{1+3}=9^4\)
b)\(2^2.5^2=4.25=100=10^2\)
c)\(8^5.2^3=8^5.8=8^{5+1}=8^6\)
d)\(9^8:3^2=9^8:9=9^{8-1}=9^7\)
\(23+3x=5^6:5^3\) \(9^{x-1}=9\) \(x^4=16\) \(2^x:2^5=1\)
\(23+3x=5^2\) => x-1= 0 \(x^4=2^4\) \(2^x=1.2^5\)
\(23+3x=25\) x= 0+1 => x= 2 \(2^x=2^5\)
3x= 25-23 x= 1 => x= 5
3x= 2
x= \(\frac{2}{3}\)
=9x2^25-2^2x2^26/2^24x5^2-2^27x3
=9x2^25-2^28/2^24x5^2-2^27x3
=2^25x(9-2^3)/2^24x(5^2-2^3x3)
=2^25/2^24
=2^1=2
\(D=\) \(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right).2}\)
\(=\) \(\frac{11.3^{22+7}-\left(3^2\right)^{15}}{2^2.\left(3^{14}\right)^2}\)
\(=\) \(\frac{11.3^{29}-3^{30}}{4.3^{28}}\)
\(=\) \(\frac{11.3^{29}-3^{29}.3}{4.3^{28}}\)
\(=\) \(\frac{3^{29}\left(11-3\right)}{3^{28}.4}\)
\(=\) \(\frac{3^{28}.3.8}{3^{28}.4}\)
\(=\) \(\frac{3^{28}.3.4.2}{3^{28}.4}\)
\(=\) \(6\)
Chúc bn hok tốt ~
\(D=\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right).2}\)
\(=\frac{11.3^{22+7}-\left(3^2\right)^{15}}{2^2.\left(3^{14}\right)^2}\)
\(=\frac{11.3^{29}-3^{30}}{4.3^{28}}\)
\(=\frac{11.3^{29}-3^{29}.3}{4.3^{28}}\)
\(=\frac{3^{29}\left(11-3\right)}{3^{28}.4}\)
\(=\frac{3^{28}.3.8}{3^{28}.4}\)
\(=\frac{3^{28}.3.4.2}{3^{28}.4}=6\)
TL
15 . 93 = 729
HT
1\(^5\)x9\(^3\)
=1x729
=729