Question

PLEASE HELP I PUT THE PROBLEM AS A PICTURE PLEASE ANSWER WILL GIVE 30 POINTS SHOW WORK

Answer 1

`\huge\boxed{9}`

Explanation:

`\sf (2^8 * 3^(-5) * 6^0)^(-2 ) ((3^(-2))/(2^3) )^4*2^(28)`

Rule of exponents
`a^0 = 1` ,
`1/a^m = a^(-m)`

=>
`\sf 2^(8*-2) * 3 ^(-5*-2) * 3 ^(-2)* 2^(-3*4) * 2^(28)`

=>
`\sf 2 ^ {-16} * 3^(10) * 3^(-8) * 2 ^(-12)* 2^(28)`

Combining same bases

=>
`\sf 2 ^ {-16} * 2 ^(-12)* 2^(28)* 3^(10) * 3^(-8)`

When bases are same , powers are to be added

=>
`\sf 2 ^(-16-12+28) * 3^(10-8)`

=>
`\sf 2^(-28+28) * 3^2`

=>
`\sf 2^0 * 3^2`

=>
`\sf 3^2`

=> 9