Question

1.13 Thank you! (Sorry it’s so blurry)

Answer 1

`\sqrt[8]{48^4}` can be rewritten as
`48^4` to the
`(1)/(8)` power:


`(48^4)^ (1)/(8)`

Now, applying exponent rules (multiply exponent inside parentheses by the one outside parentheses), we get:


`(48^ (1)/(2))`

This is equivalent to
`√(48)`, so now, we just simplify:


`√(48)= √(16*3)= √(16)* √(3)=4 √(3)`

So:


`\sqrt[8]{48^4} =4 √(3)`