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Simplify the expression: r3 x 5r2 x 2r4


2 Answers

0 votes
10r^9 is your answer. r^3x5r^2 = 5r^5. Take that and multiply it by 2r^4 and you get 10r^9
answered
User Gabriel Robert
by
8.2k points
5 votes

Answer:

10r^9

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

answered
User Apurva Mulay
by
8.4k points
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