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4 votes
Simplify the expression: (12x2y3)(2x3y)2

A) 288x12y6
B) 48x8y5
C) 288x8y3
D) 48x12y2
E) 288x12y4

User KTY
by
6.4k points

1 Answer

3 votes

Answer:

The simplified expression for
(
12
x^(2)
y^(3)
)\\
(2x^(3)y) ^(2) is
48x^(8) y^(5).

Explanation:

  • Given equation is:
    (
    12
    x^(2)
    y^(3)
    )\\
    (2x^(3)y) ^(2)

=
(
12
x^(2)
y^(3)
)\\ (
4x^(6)y^(2)) (squaring the terms inside bracket)

=
12*4* x^(6+2)*y^(3+2) (adding power of the same variables)

=
48*x^(8)*y^(5)

  • Hence on simplification we get
    48x^(8) y^(5).
User Weteef
by
7.3k points
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