Question

4 of the power of 5 times 4 of the power of negative 7 divided by 4 of the power negative 2

Answer 1

1

Explanation:

`{4}^(5) * {4}^( - 7) / {4}^( - 2) \\ = \frac{ {4}^(5) * {4}^( - 7) }{ {4}^( - 2) } \\ \\ = \frac{ {4}^(5 + ( - 7)) }{ {4}^( - 2) } \\ \\ = {4}^(5 + ( - 7) + 2) \\ \\ = {4}^(5 - 7 + 2)\\ \\ = {4}^(7 - 7 ) \\ \\ = {4}^(0) \\ \\ = 1 \: \: ( \because \: {a}^(0) = 1)`