Question

Find the value of the following expression (2^8 • 3^-5 • 6^0) write your answer in simplified form show all your steps Help Fast

Answer 1

`{( {2}^(8) * {3}^( - 5) * {6}^(0) })^( - 2) \\ = \frac{1}{ {( {2}^(8) * {3}^( - 5) * {6}^(0) })^(2) } \\ = \frac{1}{ {(256 * \frac{1}{ {3}^(5) } * 1 })^(2) } \\ = \frac{1}{ {(256 * (1)/(243) * 1 })^(2) } \\ = \frac{1}{ ({ (256)/(243) })^(2) } \\ = \frac{1}{ \frac{ {256}^(2) }{ {243}^(2) } } \\ = (1)/( (65536)/(59049) ) \\ = (59049)/(65536)`
The answer is 59049/65539
The value is 0.901