\[7x\times 7{x}^{4}\]

1
Take out the constants.
(7×7)xx4(7\times 7)x{x}^{4}

2
Simplify  7×77\times 7  to  4949.
49xx449x{x}^{4}

3
Use Product Rule: xaxb=xa+b{x}^{a}{x}^{b}={x}^{a+b}.
49x1+449{x}^{1+4}

4
Simplify  1+41+4  to  55.
49x549{x}^{5}

Done

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