(2^8 ⋅ 3^−5 ⋅ 6^0)^−2 ⋅ (3^-2/2^3)^4 ⋅ 2^28 Find the value of the following expression,Write your answer in simplified form. Show all of your steps.

Question

partyshotz2409 · Answer

i know the answer to the problem i just don't know how to explain how i solved it

agent0smith · Answer

Distribute the exponents inside the parentheses. Show your work.

oswaldmurphy · Answer

in math when it asks you to explain something, just list the steps of how you got it, or as you do it write it down.

partyshotz2409 · Answer

guys please help

phi · Answer

any idea what  6^0 equals ?

zootedyoungin · Answer

nope, either 6 or 0

oswaldmurphy · Answer

1. Anything ^0 = 1.

phi · Answer

we could brute force this (a calculator can tell you the answer)
but we can also use this rule
$$ ( a^x b^y )^z =  a^{xz} b^{yz}$$

phi · Answer

on this
$$ (2^8 ⋅ 3^{−5} ⋅ 6^0)^{−2} $$

phi · Answer

care to try applying that "rule" ?