Question

Does anyone know how to do this problem? If you can explain the steps as well it will be helpful. xx

Answer 1

The relevant rules of exponents are

`x^(a)\cdot x^(b)=x^((a+b))\\\\\left(x^(a)\right)^(b)=x^((a\cdot b))\\\\x^(-a)=(1)/(x^(a))`

1.
`(\left(8^(3)\right)^(4)\cdot 8^(-9))/(8^(3))=8^((3\cdot 4-9-3))=8^(0)=1`

2.
`(8^(3)\cdot 8^(4))/(\left(8^(2)\right)^(4))=8^((3+4-2\cdot 4))=8^(-1)`