Question

Simplify: (4x)(-x^2)(5x^3)

Answer 1

The answer is

`- 20 {x}^(6)`

Explanation:

(4x )( - x²)(5x³)

Expand the terms

That's

-4x³( 5x³)

Next multiply the numbers

That's

- 20( x³)(x³)

Using the rules of indices multiply the x's in the expression

That's

`{a}^(x) * {a}^(x) = {a}^(y + y)`

So we have

`{x}^(3) * {x}^(3) = {x}^(3 + 3) = {x}^(6)`

We have the final answer as

`- 20 {x}^(6)`

Hope this helps you

Answer 2

-20 x^6

Explanation:

(4x)(-x^2)(5x^3)

Multiply the numbers

4*-1 *5 = -20

Add the exponents

x^1 * x^2 * x^3

x^(1+2+3)

x^6

Multiply back together

-20 x^6