The left side is: \(\displaystyle \:5^{21}\,\cdot\,\left(2^2\right)^{11} \;=\;5^{21}\,\cdot\,2^{22}\;=\;5^{21}\,\cdot\,2^{21}\,\cdot\,2 \;=\;2\,\cdot\,\left(5\cdot2)^{21} \;=\;2\,\cdot\,10^{21}\)
The equation becomes: \(\displaystyle \:2\,\cdot\,10^n \;=\;2\,\cdot\,10^{21}\)
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