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a) \(\left(3^5\times3^7\right):3^{10}+5\times2^4-7^3:7=3^{12}:3^{10}+5\times2^4-7^2\)
\(=3^2-5\times16-7^2=9-80-49=-120\)
b) \(15:\left(3^5:3^4\right)-2^9:2^7=15:3-2^2=5-4=1\)
c)\(5\times3^5:\left(3^8:3^5\right)-2^3\times5=5\times3^5:3^3-2^3\times5\)
\(=5\times3^2-2^3\times5=5\times9-8\times5=45-40=5\)
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\(5.2^2+\left(x+3\right)=5^2\)
\(\Rightarrow\) \(x+3=5^2-5.2^2\)
\(\Rightarrow\) \(x+3=5.\left(5-2^2\right)\)
\(\Rightarrow\) \(x+3=5\)
\(\Rightarrow\) \(x=5-3\)
\(\Rightarrow\) \(x=2\)
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a) X - 36 x 18 = 12
X - 36 = 12 : 18
X - 36 = 2/3
X = 2/3 + 36
X = \(36\frac{2}{3}\)
b) ( X - 36 ) : 18 = 12
X - 36 = 12 x 18
X - 38 = 216
X = 216 + 38
X = 254
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\(a,4^x=64\)
\(4^x=4^3\)
\(x=3\)
\(b,3\cdot\left(5^x-16\right)=3^3\)
\(5^x-16=3^3:3=3^2\)
\(5^x-16=9\)
\(5^x=9+16=25\)
\(5^x=5^2\)
\(x=2\)