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\(4^6\cdot8^{10}\)
\(=\left(2^2\right)^6\cdot\left(2^3\right)^{10}\)
\(=2^{12}\cdot2^{30}\)
\(=2^{42}\)
\(9^3\cdot27^4\)
\(=\left(3^2\right)^3\cdot\left(3^3\right)^4\)
\(=3^6\cdot3^{12}\)
\(=3^{18}\)
\(16\cdot3^4\)
\(=2^4\cdot3^4\)
\(=6^4\)
a) 46.810=212.230=242
b)93.274=36.312=318
c)16.34=24.34=64
\(\frac{a}{b}=\frac{45}{125}=\frac{9}{25}=\frac{11.9}{11.25}=\frac{99}{275}\)
a ) 5 x 216 x 25 x 4 = 1080 x 100 = 108000
b ) 37 x 16 x 25 x 4 = 592 x 100 = 59200
c ) 36 x ( 28 + 82 ) + 64 x ( 69 + 41 ) = 36 x 110 + 64 x 110 = ( 36 + 64 ) x 110 = 100 x 110 = 11000
d ) 42 x ( 53 + 36 + 11 ) = 42 x 100 = 4200
e) 37 x 45 + 56 x 37 - 37 x 1 = 37 x ( 45 + 56 - 1 ) = 37 x 100 = 3700
h) 17 x 1 + 17 x 81 + 18 x 17 = 17 x ( 1 + 81 + 18 ) = 17 x 100 = 1700
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a) 5 x 25 x 216 x 4
= ( 5 x 216 ) x ( 25 x 4 )
= 1080 x 100
= 108000
b) 4 x 37 x 25 x 16
= ( 4 x 25 ) x ( 37 x 16 )
= 100 x 592
= 59200
a)\(\frac{-5}{18}+\frac{32}{45}-\frac{9}{10}\)
\(=\frac{-25}{90}+\frac{64}{90}-\frac{81}{90}\)
\(=-\frac{42}{90}=-\frac{7}{15}\)
b)\(\frac{3}{4}-\left(-\frac{5}{8}\right)+\frac{9}{4}-\frac{3}{16}\)
\(=\frac{3}{4}+\frac{5}{8}+\frac{9}{4}-\frac{3}{16}\)
\(=\frac{12}{16}+\frac{10}{16}+\frac{36}{16}-\frac{3}{16}\)
\(=\frac{58}{16}=\frac{29}{8}\)
c) \(\frac{11}{125}-\frac{17}{18}-\frac{5}{7}+\frac{4}{9}+\frac{17}{14}=\frac{11}{125}\)
d) \(\frac{-2}{5}-\frac{3}{10}-\left(-\frac{1}{2}\right)\)
\(=-\frac{2}{5}-\frac{3}{10}+\frac{1}{2}\)
\(=-\frac{4}{10}-\frac{3}{10}+\frac{5}{10}\)
\(=-\frac{2}{10}=-\frac{1}{5}\)
b, = \(\frac{3^9\cdot3\cdot11+15\cdot3\cdot3^8}{16\cdot3^9}\)
= \(\frac{3^9\cdot33+15\cdot3^9}{16\cdot3^9}\)
= \(\frac{3^9\cdot\left(33+15\right)}{3^9\cdot16}\)
=\(\frac{48}{16}=3\)
a, =\(\frac{\left(3\cdot4\right)^5}{4^3\cdot3^4}\)= \(\frac{3^4\cdot3\cdot4^3\cdot4^2}{4^3\cdot3^4}\)= 3 * 4^2 = 3 * 16 = 48
b, (310*11+38*45)/16*39=3^10*11+3^10*5/16*3^9=3^10*16/3^9*16=3
a, 12^5/64*3^4=2^10*3^5/2^6*3^4=2^4*3=48