Rút gọn :
P = \(\frac{12^{10}+6^9.4^6}{15.2^{18}.9^4-2^{19}-27^3}\)
Rút gọn biểu thức sau :
P = \(\frac{12^{10}+6^9.4^6}{15.2^{18}.9^4-2^{19}-27^3}\)
Các bạn giúp mk với tối nay nộp rùi
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Rút gọn :
A= \(\frac{12^{10}+6^9.4^6}{15.2^{18}.9^4-2^{19}-27^3}\)
\(A=\dfrac{2^{20}\cdot3^{10}+2^9\cdot2^{12}\cdot3^9}{2^{18}\cdot5\cdot3\cdot3^8-2^{19}\cdot3^9}\)
\(=\dfrac{2^{20}\cdot3^9\left(3+2\right)}{2^{18}\cdot3^9\left(5-2\right)}=4\cdot\dfrac{5}{3}=\dfrac{20}{3}\)
Rút gọn biểu thức sau:
\(P=\frac{12^{10}+6^9.4^6}{15.2^{18}.9^4-2^{19}-27^3}\)
Mình cần gấp các bạn giúp nha!
\(P=\dfrac{2^{20}\cdot3^{10}+2^9\cdot2^{12}\cdot3^9}{15\cdot2^{18}\cdot3^8-2^{19}\cdot3^9}=\dfrac{2^{20}\cdot3^9\left(3+2\right)}{2^{18}\cdot3^9\cdot5-2^{19}\cdot3^9}\)
\(=\dfrac{2^{20}\cdot3^9\cdot5}{2^{18}\cdot3^9\left(5-2\right)}=4\cdot\dfrac{5}{3}=\dfrac{20}{3}\)
Rút gọn biểu thức sau:
\(\frac{2^{20}.27^3+30.4^9.9^4}{6^9.4^5+12^{10}}\)
rút gọn:\(\frac{2^{19}.27^9+15.4^9.9^4}{6^9.2^{12}+12^{10}}\)
Ta có:
\(\frac{2^{19}.27^9+15.4^9.9^4}{6^9.2^{12}+12^{10}}=\frac{2^{19}.\left(3^3\right)^9+3.5.\left(2^2\right)^9.\left(3^2\right)^4}{\left(2.3\right)^9.2^{12}+\left(2^2.3\right)^{10}}\)
\(=\frac{2^{19}.3^{27}+3.5.2^{18}.3^8}{2^9.3^9.2^{12}+2^{20}.3^{10}}=\frac{2^{19}.3^{27}+3^9.2^{18}.5}{2^{21}.3^9+2^{20}.3^{10}}=\frac{2^{18}.3^9.\left(2.3^{18}+5\right)}{2^{20}.3^9.\left(2+3\right)}\)
\(=\frac{1.1.\left(2.3^{18}+5\right)}{2^2.1.5}=\frac{2.3^{18}+5}{20}\)
rút gọn phân số: 2^19. 27^3+ 15. 4^9. 9^4/ 6^9. 2^16+ 12^10
rút gọn: \(\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\)
\(\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\)
\(=\frac{2^{19}.\left(3^3\right)^3+3.5.\left(2^2\right)^9.\left(3^2\right)^4}{\left(2.3\right)^9.2^{10}+\left(2^2.3\right)^{10}}\)
\(=\frac{2^{19}.3^9+3.5.2^{18}.3^8}{2^9.3^9.2^{10}+2^{20}.3^{10}}\)
\(=\frac{2^{19}.3^9.\left(1+5\right)}{2^{19}.3^9.\left(1+2.3\right)}=\frac{6}{7}\)
Rút gọn
\(\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\)
\(=\frac{2^{19}.3^9+3^9.5.2^{18}}{2^9.3^9.2^{10}+2^{20}.3^{10}}=\frac{2^{18}.3^9\left(2+5\right)}{2^{19}.3^9\left(1+2.3\right)}=\frac{1}{2}\)
\(\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\) Rút gọn :
\(\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\)
= \(\frac{2^{19}.3^9+5.2^{18}.3^9}{6^9.2^{10}+2^{10}.6^{10}}\)
=\(\frac{\left(2^{18}.3^9\right)\left(2+5\right)}{\left(6^9.2^{10}\right)\left(1+6\right)}\)
=\(\frac{7\left(2^{18}.3^9\right)}{7\left(3^9.2^9.2^{10}\right)}\)
= \(\frac{7\left(2^{18}.3^9\right)}{7\left(3^9.2^{19}\right)}\)
= \(\frac{1}{2}\)