Question

Simplify (2^9• 3^5) • (2^4•3)^2

Answer 1

`286654464`

Explanation:

first, write the equation:

`(2^(9)*3^(5) )*(2^(4) *3)^(2)`

solve in the parentheses from left to right:

`(2^(9) *3^(5) )`

solve for
`2^(9)`:

`2*2*2*2*2*2*2*2*2=512`

then solve for
`3^(5)`:

`3*3*3*3*3=243`

So the equation will be as:

`(512*243)*(2^(4) *3)^(2)`

simplify:

`124416*(2^(4) *3)^(2)`

solve for
`(2^(4) *3)^(2)`:

`2*2*2*2=16\\(16*3)=48`

complete equation:

`124416*(48)^(2)`

the answer will be:

`124416*(48)^(2) =\\124416*48*48=\\286654464`