a)
[tex] \frac{5( {4}^{6}) }{20 \times {4}^{5} } = \\ \\ \frac{5( {4}^{6} )}{5 \times 4 \times {4}^{5} } = \\ \\ \frac{5( {4}^{6} )}{5(4 \times {4}^{5} )} = \\ \\ \frac{ {4}^{6} }{ {4}^{6} } = \\ \\ {4}^{0} = {p}^{0} \\ [/tex]
b)
[tex] \frac{ {7}^{ - 1} }{ {7}^{ - 20} } = \\ \\ {7}^{ - 1 - ( - 20)} = \\ \\ {7}^{19} = {p}^{19} \\ [/tex]
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Verified answer
a)
[tex] \frac{5( {4}^{6}) }{20 \times {4}^{5} } = \\ \\ \frac{5( {4}^{6} )}{5 \times 4 \times {4}^{5} } = \\ \\ \frac{5( {4}^{6} )}{5(4 \times {4}^{5} )} = \\ \\ \frac{ {4}^{6} }{ {4}^{6} } = \\ \\ {4}^{0} = {p}^{0} \\ [/tex]
b)
[tex] \frac{ {7}^{ - 1} }{ {7}^{ - 20} } = \\ \\ {7}^{ - 1 - ( - 20)} = \\ \\ {7}^{19} = {p}^{19} \\ [/tex]