Question

(3xy)^2x^4y simplifying an expression

Answer 1

Answer:

$36x^6y^3$

Step-by-step explanation:

The problem needs application of law of indices

$1. (xy)^m = x^my^m$

This means common power for terms can be applied to each term individually.

$x^a x^b = x^(a+b)$

Separate power for the terms having  same base can be added together.

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we will be using these law of indices in the problem

$(3xy)^2x^4y \\=> 3^2x^2y^2x^4y$

applied the first rule of indices as mentioned above

$3^2x^2y^2x^4y\\=>9*x^(2+4)4y^(2+1)\\=>9*4x^6y^3\\=>36x^6y^3$

applied the second rule of indices as mentioned above

Thus, simplified form of (3xy)^2x^4y  is $36x^6y^3$.