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-10 + (x - 16) + 9=−10+(x−16)+9
-10 + x - 16 + 9 = -10 + x - 16 +9
\(\Rightarrow\)-10 + x -16 = -10 + x -16
\(\Rightarrow\)-10 + x = -10 +x
\(\Rightarrow\)x - 10 = x - 10
\(\Rightarrow\)x = x
A=(x+9)-(x-7)-(11-x)
A=x+9-x+7-11+x
A=(x-x+x)+(9+7-11)
A=x+5
B=(3x-1)-(2x+2)-(x-3)
B=3x-1-2x-2-x+3
B=(3x-2x-x)-(1-2+3)=2
a) \(8^5.8^2=8^7=\left(2^3\right)^7=2^{21}\)
b) \(2^7.5^7=10^7\)
c) \(9^2.2^2=18^2\)
d) \(\left(15+5\right)^2.\left(5+5\right)=20^2.10=4000=\sqrt{4000}^2\)
\(\frac{10.\left(4^6.9^5+6^9.120\right)}{8^4.3^{12}-6^{11}}\)
=\(\frac{2.5.\left[\left(2^2\right)^6.\left(3^2\right)^5+\left(2.3\right)^9.2^3.3.5\right]}{\left(2^3\right)^4.3^{12}-\left(2.3\right)^{11}}\)
=\(\frac{2^{13}.5.3^{10}+2^{13}.5^2.3^{10}}{2^{12}.3^{12}-3^{11}.2^{11}}\)
=\(\frac{2^{13}.5.3^{10}.\left(1+5\right)}{2^{11}.3^{11}.\left(2.3-1\right)}\)
=\(\frac{4.5.6}{3.5}\)
= 8