tính nhanh
a, 5 mũ 3 + 2 . 5 mũ 2 . 15 + 5 . 15 mũ 2
b, 11 mũ 3 - 2 . 11 mũ 2 . 9 + 11 . 9 mũ 2
c, 10 mũ 3 . 3 mũ 2 + 24000 + 10 mũ 3 . 9
d, 89 mũ 2 - 11 mũ 2 + 13 mũ 2 - 87 mũ 2
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a)\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{-5}{9}\)
b)\(\frac{\left(-11\right)^5.13^7}{11^5.13^8}=-\frac{1}{13}\)
c)\(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.3^9\left(3-1\right)}{2^9.3^{10}}=2\)
d(\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(35+9\right)}=\frac{1}{6}\)
a,\(5^3.2-100:4+2^3.5\)
= 125 . 2 - 25 + 8 . 5
= 250 - 25 + 40
= 265
b, \(6^2:9+50.2-3^3.3\)
= 36 : 9 + 100 - 27 . 3
= 4 + 100 - 81
= 23
3. 33.19-33.12=33.(19-12)=33.7=189
4. 3.52-16:22=3.52-24:22=3.25-4=75-4=71
a) \(27^7\div9^{10}\)
\(=\left(3^3\right)^7\div\left(3^2\right)^{10}\)
\(=3^{3\times7}\div3^{2\times10}\)
\(=3^{21}\div3^{20}\)
\(=3^1\)
\(=3\)
b) \(125^6\div25^7\)
\(=\left(5^3\right)^6\div\left(5^2\right)^7\)
\(=5^{3\times6}\div5^{2\times7}\)
\(=5^{18}\div5^{14}\)
\(=5^4\)
\(=625\)
c) \(5^{15}\div5^3\)
\(=5^{12}\)
\(=244140625\)
d) \(11^7\div11^3\)
\(=11^4\)
\(=14641\)
e) \(125\div5^2\)
\(=5^2\div5^2\)
\(=5^1\)
\(=5\)
g) \(169\div13^2\)
\(=13^2\div13^2\)
\(=13^1\)
\(=13\)
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Thế này à:
a, \(\frac{2^{13}+25}{2^{10}}\)
b, \(\frac{21^2.14.125}{35^5.6}\)
c,\(\frac{45^3.20^4.18^2}{180^5}\)
d, \(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)
2 mũ 13 ta chia cho 2 mũ 10 ta có là 2 mũ 3 chuyển thành 8 rồi cộng cho 25 ta có là 33
Ta có:
A=310.11+310.539.24=310.(11+5)39.16A=310.11+310.539.24=310.(11+5)39.16
=310.1639.16=3.11.1=3=310.1639.16=3.11.1=3
Vậy giá trị biểu thức A là 3