Question

Which expression is equivalent to (64 y Superscript 100 Baseline) Superscript one-half?

8y10
8y50
32y10
32y50

Answer 1

b

Explanation:

Answer 2

`8y^(50)`

Explanation:

This expression is equal :

`{(64y^(100))}^{(1)/(2)}`

Here we can use this rule :

`(a^mb^n)^y=a^(my)b^(ny)`

Now, 64 we can write like :
`8^2`

`(8^2y^(100))^{(1)/(2)}`

Now we can use our rule :

`8^{2*(1)/(2)}y^{100*(1)/(2)`

When we simplify, we have :

8y^{50}