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

Answer:

1

Step-by-step explanation:

${4}^{5} \times {4}^{ - 7} \div {4}^{ - 2} \\ = \frac{ {4}^{5} \times {4}^{ - 7} }{ {4}^{ - 2} } \\ \\ = \frac{ {4}^{5 + ( - 7)} }{ {4}^{ - 2} } \\ \\ = {4}^{5 + ( - 7) + 2} \\ \\ = {4}^{5 - 7 + 2}\\ \\ = {4}^{7 - 7 } \\ \\ = {4}^{0} \\ \\ = 1 \: \: ( \because \: {a}^{0} = 1)$