Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$100 { \times }^{ 10 } -60 { a }^{ 4 } { x }^{ 5 } { y }^{ 6 } +9 { a }^{ 8 } { y }^{ 12 }$$

Answer

$$100*^11-60*a^4*x^5*y^6+9*a^8*y^12$$

Solution


Remove parentheses.
\[100{}^{10}-60{a}^{4}{x}^{5}{y}^{6}+9{a}^{8}{y}^{12}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[100{}^{11}-60{a}^{4}{x}^{5}{y}^{6}+9{a}^{8}{y}^{12}\]
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