Question

Evaluate the expression

5⋅x3x2\dfrac{5\cdot x^3}{x^2}
x
2

5⋅x
3
​

start fraction, 5, dot, x, start superscript, 3, end superscript, divided by, x, start superscript, 2, end superscript, end fraction
for
x=2x=2
x=2
x, equals, 2

Answer 1

10.

Explanation:

We have been given an expression
`(5\cdot x^3)/(x^2)`. We are asked to evaluate our expression for
`x=2`.

To evaluate our expression, we will substitute
`x=2` in our given expression.

`(5\cdot 2^3)/(2^2)`

Using exponent rule
`(a^m)/(a^n)=a^(m-n)`, we will get:

`5\cdot 2^(3-2)`

`5\cdot 2^(1)`

`5\cdot 2`

`10`

Therefore, the value of our given expression is 10.

Answer 2

10

Explanation:

`(5\cdot x^3)/(x^2)=5x`

For x=2, this is ...

5·2 = 10