Toán Lớp 6: thực hiện các phép tính sau
a) (5^15.15+29.5^16):5^16.2^4
b) (3^13.99-15.3^14):(3^17:3^2)
c) (4^17+64):(4^16+16)
d) 5^25:5^23+3^2.2^3-2^5
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Toán Lớp 6: thực hiện các phép tính sau
a) (5^15.15+29.5^16):5^16.2^4
b) (3^13.99-15.3^14):(3^17:3^2)
c) (4^17+64):(4^16+16)
d) 5^25:5^23+3^2.2^3-2^5
giúp mị
Comments ( 1 )
a)\left( {{5^{15}}.15 + {{29.5}^{16}}} \right):{5^{16}}{.2^4}\\
= \left( {{5^{16}}.3 + {{29.5}^{16}}} \right):{5^{16}}{.2^4}\\
= {32.5^{16}}:{5^{16}}{.2^4}\\
= {32.2^4}\\
= {2^9}\\
b)\left( {{3^{13}}.99 – {{15.3}^{14}}} \right):\left( {{3^{17}}:{3^2}} \right)\\
= \left( {{3^{13}}.9.11 – {{5.3.3}^{14}}} \right):{3^{15}}\\
= \left( {{3^{15}}.11 – {{5.3}^{15}}} \right):{3^{15}}\\
= {6.3^{15}}:{3^{15}}\\
= 6\\
c)\left( {{4^{17}} + 64} \right):\left( {{4^{16}} + 16} \right)\\
= \left( {{4^{17}} + {4^3}} \right):\left( {{4^{16}} + {4^2}} \right)\\
= {4^3}.\left( {{4^{14}} + 1} \right):\left[ {{4^2}\left( {{4^{14}} + 1} \right)} \right]\\
= {4^3}:{4^2}\\
= 4\\
d){5^{25}}:{5^{23}} + {3^2}{.2^3} – {2^5}\\
= {5^2} + 9.8 – 32\\
= 25 + 72 – 32\\
= 25 + 40\\
= 65
\end{array}$