Question

Evaluate the following (5–⁹÷5–¹¹)×5–⁴

Answer 1

Answer:

$( {5}^{ - 9} \div {5}^{ - 11} ) \times {5}^{ - 4} \\ \\ = \frac{5 ^{ - 9} }{{5}^{ - 11} } \times {5}^{ - 4} \\ \\ = {5}^{( - 9) - ( - 11)} \times {5}^{ - 4} \\ \\ = {5}^{ - 9 + 11} \times {5}^{ - 4} \\ \\ = {5}^{3} \times {5}^{ - 4} \\ \\ = {5}^{3 + ( - 4)} \\ \\ = {5}^{3 - 4} \\ \\ = {5}^{ - 1} \\ \\ concept \: used \\ \\ \frac{ {a}^{m} }{ {b}^{n} } = {a}^{m - n} \\ \\ {a}^{m} \times {b}^{n} = {a}^{m + n}$

hope this much helps uh ❣️