Question

6^5*6^-3

w^5w^-2
10&-4*10*5

Use the Giant One to simplify. Convert the equation to a fraction as well while you are at it.
This is worth 3 question

Answer 1

Explanation:

`\boxed {a^m*a^n=a^(m+n)}`

1)

`6^5*6^(-3)=\\\\6^(5+(-3))=\\\\6^(5-3)=\\\\6^2=\\\\36`

2)

`w^5*w^(-2)=\\\\w^(5+(-2))=\\\\w^(5-2)=\\\\w^3`

3)

`10^(-4)*10^5=\\10^(-4+5)=\\10^1=\\10`

`\boxed {(a^m)/(a^n)=a^(m-n)}`

1)

`\displaystyle\\6^5*6^(-3)\\\\(6^5)/(6^3) =\\\\6^(5-3)=\\\\6^2=\\\\36`

2)

`\displaystyle\\w^5*w^(-2)=\\\\(w^5)/(w^2) =\\\\w^(5-2)=\\\\w^3`

3)

`\displaystyle\\10^(-4)*10^5=\\\\(10^5)/(10^4) =\\\\10^(5-4)=\\\\10^1=\\\\10`