Question

For a homework question, Linda is asked to rewrite the expression (x3⋅x)2 ( x 3 ⋅ x ) 2 in the form xk. x k . Linda claims that the value of k k is 9 9 since (3⋅1)2=32=9. ( 3 ⋅ 1 ) 2 = 3 2 = 9 . Decide if Linda is correct. If Linda is correct, enter 9 below. If Linda is not correct, enter the correct value of k. k .

Answer 1

k=8

Explanation:

Question says that given expression is
`\left(x^3\cdot x\right)^2`

Now we need to rewrite that expression in form of
`x^k`.

To do that we need to simplify given problem
`\left(x^3\cdot x\right)^2`.

x is same as
`x^1`

`=\left(x^3\cdot x^1\right)^2`

we can begin with inner parenthesis

`=\left(x^(3+1)\right)^2`

`=\left(x^(4)\right)^2`

`=x^(4*2)`

`=x^8`

Now compare that with
`=x^k`, we get:

k=8

Which is different value that Linda got.

Hence answer of the Linda is wrong.