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a) \(3^6.3^7\) \(=3^{13}\)
b) \(x^{10}:x^6:x\)
\(=x^{10}:x^7\)\(=x^3\)
c) \(a^5.a^9=a^{14}\)
\(a,=3^{6+7}=3^{13}\\ b,=x^{10-6-1}=x^3\\ c,=a^{5+9}=a^{14}\\ d,=2^3\cdot2^{15}\cdot2^{16}=2^{34}\\ e,=5^6\cdot5^5\cdot5^5=5^{16}\\ f,=a^{10+4-12}=a^2\)
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a, \(\dfrac{3^8}{3^4}+2^2.2^3\)
= 34 + 25
= 113
b, 3.42 - 2.32
= 3.(42 - 2.3)
= 3.(16 - 6)
= 3.10
= 30
c, \(\dfrac{4^6.3^4.9^5}{6^{12}}\)
= \(\dfrac{\left(2^2\right)^6.3^4.\left(3^2\right)^5}{\left(2.3\right)^{12}}\)
= \(\dfrac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}\)
= \(\dfrac{3^{14}}{3^{12}}\)
= 32
@Dương Tuyết Mai
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\(\left(6^3\times8^4\right)\div12^3\)
\(=\left(216\times4096\right)\div1728\)
\(=884736\div1728\)
\(=512\)
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\(\frac{2^{12}.3^5-4^6.3^6}{2^{12}.9^3+8^4.3^5}\)
\(=\frac{2^{12}.3^5-4^6.3.3^5}{2^{12}.3.3^5+4^6.3^5}\)
\(=\frac{1-3}{3+1}\)
\(=\frac{-1}{2}\)
P=212.35-46.36/212.93+84.35
P=212.35-(22)6.36/212.(33)3+(23)4.35
P=212.35-212.36/212.39+212.35
P=212.(35-36)/212.(39+35)
P=35-36/39+35
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a) 5.42 - 18 : 32 = 5.16 - 18 : 9 = 80 - 2 = 78
b) 33.18 - 33.12 = 33(18 - 12) = 33.6 = 27.6 = 162
c) 39.213 + 87.39 = 39.(213 + 87) = 39.300 = 11700
d) 80 - [130 - (12 - 42 )] = 80 - (130 - 12 + 42) = 80 - 130 + 12 - 42 = -50 - 4 = -54