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

Answer:

k=8

Step-by-step 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.