Simplify the following Expressions.?

Question

(2x^2)^3 (4x^3)^-1 and (3x^-2)(3x^2/2)^2

Answer 1

Expression 1
8 (x^6) / 4 ( x ³ )
2 x ³

Expression 2
(3/x²)(9x^4) / 4
27 x^4 / (4 x ²)
(27/4) x ²

Answer 2

(2x^2)^3 (4x^3)^-1
= 2x × 2x × 2x / 4 × x × x × x
= 2 x / x
= 2

(3x^-2)(3x^2/2)^2
= [3 / (x × x)] × [(3 x ^2× 3x^2)/ 2 × 2]
=3 × 3 × 3x^2 / 2 × 2
= 27x^2/4

Answer 3

8x^6/4x^3 = 2x^3

(3/x^2)(9x^4/4) = 27x^2/4

Answer 4

I have decided that for now on, when people post more then one problem and/or ask the question directly out of the book. I will no long answer them.

Answer 5

Ah the old using Yahoo Answers to your homework trick :P

Answer 6

(2x^2)^3(4x^3)^-1=8x^6/4x^3=2x^3

(3x^-2)(3x^2/2)^2=(3/x^2)(9x^4/4)=(27x^2)/4

Answer 7

144^ and 36^

Answer 8

easy

Answer 9

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