\(\frac{3^{10}+6^2}{5.3^8+20}=?\)
rút gọn biểu thức :
\(\frac{3^{10}+6^2}{5.3^8+20}\)
\(\frac{3^{10}+6^2}{5.3^8+20}\)\(=\frac{3^2+2^2.3^2}{5+2^2.5}=\frac{3^2\left(1+2^2\right)}{5\left(1+2^2\right)}\)\(=\frac{3^2}{5}\)\(=\frac{9}{5}\)
Rút gọn biểu thức :
1 . \(\frac{3^{10}+6^2}{5.3^8+20}\)
2.\(\frac{28^{15.}3^{17}}{84^{16}}\)
1) \(\frac{3^{10}+6^2}{5\cdot3^8+20}=\frac{3^{10}+3^2\cdot2^2}{5\cdot3^8+5\cdot2^2}=\frac{3^2\left(3^8+2^2\right)}{5\left(3^8+2^2\right)}=\frac{9}{5}\)
2) \(\frac{28^{15}\cdot3^{17}}{84^{16}}=\frac{28^{15}\cdot3^{17}}{28^{16}\cdot3^{16}}=\frac{3}{28}\)
mình cần cách làm nha các bạn , giúp mình với !
3^(10)+6^(2)/5.3^(8)+20
3^(10)+6^(2)/5.3^(8)+20
\(\frac{3^{10}+6^2}{5\cdot3^8+20}\)
\(=\frac{3^{10}+\left(3 \cdot2\right)^2}{5\cdot3^8+5\cdot4}\)
\(=\frac{3^{10}+3^2\cdot2^2}{5\cdot\left(3^8+4\right)}\)
\(=\frac{3^2\cdot\left(3^8+2^2\right)}{5\cdot\left(3^8+4\right)}\)
\(=\frac{3^2\cdot\left(3^8+4\right)}{5\cdot\left(3^8+4\right)}\)
\(=\frac{3^2}{5}\)
\(=\frac{9}{5}\)
Rút gọn biểu thức 3^(10)+6^(2)/5.3^(8)+20.Giúp mình nha.Thank!!!!!!
\(\frac{3^{10}+6^2}{5\cdot3^8+20}\)
\(=\frac{3^{10}+\left(3\cdot2\right)^2}{5\left(3^8+4\right)}\)
\(=\frac{3^{10}+3^2\cdot2^2}{5\left(3^8+4\right)}\)
\(=\frac{3^2\left(3^8+4\right)}{5\left(3^8+4\right)}\)
\(=\frac{9}{5}\)
rút gọn biểu thức sau :\(\frac{3^{10}+6^3}{5.3^8+20}\)
So sánh:\(72^{15}và3^{21}.96^9\)
So sánh: 7215 và 321.969
7215=(23.32)15=(23)15.(32)15=245.330
321.969=321.(3.25)9=321.39.(25)9=321+9.245=330.245
Vì 245.330 = 3030.245
Nên 7215 = 321.969
Rut gon bieu thuc ( 2x like )
a)28^15 . 3^17
_____________
84^16
b) 3^10 + 6^2
________________
5.3^8 + 20
1.tính
a) \(\frac{2^6.9^2}{6^4.8}\) b) \(\frac{3^{10}.2^1}{16.4^3.243}\)
2. rút gọn
a) A= \(\frac{28^{15}.3^{17}}{84^{16}}\) b) B= \(\frac{3^{10}+6^2}{5.3^8+20}\)
1
a) \(\frac{2^2.9^2}{6^4.8}\)\(=\frac{2^2+\left(3^2\right)^2}{\left(2.3\right)^4.2^3}\)\(=\frac{3^4}{2^4.3^4.2}=\frac{1}{2^4.2}=\frac{1}{2^5}=\frac{1}{32}\)
b)\(\frac{3^{10}.2^1}{16.4^3.243}=\frac{3^{10}.2^1}{2^4.4^3.3^5}=\frac{3^5}{2^3.4^3}=\frac{3^5}{\left(2.4\right)^3}\)\(=\frac{3^5}{8^3}=\frac{243}{512}\)
Rút gọn biểu thức
a)28^15 . 3^17
_____________
84^16
b) 3^10 + 6^2
________________
5.3^8 + 20
Bây giờ mình sẽ viết đầy đủ hơn nhé:
a) \(\frac{28^{15}.3^{17}}{84^{16}}=\frac{\left(28.3\right)^{15}.3^2}{\left(28.3\right)^{15}.84}=\frac{9}{84}=\frac{3}{28}\)
b)\(\frac{3^{10}+6^2}{5.3^8+20}=\frac{3^{10}+2^2.3^2}{5.3^8+20}=\frac{3^2.\left(3^8+2^2\right)}{5.\left(3^8+2^2\right)}\)\(=\frac{9}{5}\)