Example

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

Question

$$23y { 64 }^{ 2 } y- { \left(5 5 _{ 2 } \times \right) }^{ 22 }$$

Answer

$$94208*y^2-55_2^22*^22$$

Solution


Simplify  \({64}^{2}\)  to  \(4096\).
\[23y\times 4096y-{(55_2)}^{22}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[23y\times 4096y-{55_2}^{22}{}^{22}\]
Take out the constants.
\[(23\times 4096)yy-{55_2}^{22}{}^{22}\]
Simplify  \(23\times 4096\)  to  \(94208\).
\[94208yy-{55_2}^{22}{}^{22}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[94208{y}^{2}-{55_2}^{22}{}^{22}\]
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