Question

(2^8 ⋅ 3^−5 ⋅ 6^0)^−2 ⋅ 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 2^28 (5 points) Write your answer in simplified form

Answer 1

start by looking at simplifying the smaller problems

anything to the power zero is 1
`6^0 = 1`

next apply the power of a power rule... multiply the powers


`(2^8* 3^(-5) * 1 )^(-2) = 2^(8* -2)* 3^(-5 * -2)`

which becomes


`2^(-16)* 3^(10)`