Simplify the expression: r3 x 5r2 x 2r4

10r^9 is your answer. r^3x5r^2 = 5r^5. Take that and multiply it by 2r^4 and you get 10r^9

10r^9

Step-by-step explanation:

From one of the laws of indices:

(A²) ² = A ²+² = A⁴

So then, let's apply the knowledge to solve our questions.

r³ * 5r² * 2r⁴

Let's take it one after the other

= (r³ * 5r²) = 5r^5

= (r * r * r * 5 * r * r)

= (5r ^5.) (2r⁴)

= (5*2) (r^5 * r^4)

= 10 r ^9