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Multiply and simplify

8x^4/3p^3 * 9p^5/64x

 Nov 12, 2015
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Simplify the following:
(8×9 x^4 p^3 p^5 x)/(3×64)

8/64 = 8/(8×8) = 1/8:
(9 x^4 p^3 p^5 x)/(3×8)

9/3 = (3×3)/3 = 3:
(3 x^4 p^3 p^5 x)/8

Combine powers. (3 x^4 p^3 p^5 x)/8 = (3 x^(4+1) p^(5+3))/8:
(3 x^4+1 p^5+3)/8

4+1 = 5:
(3 x^5 p^(5+3))/8

5+3 = 8:
Answer: | 
| (3x^5 p^8)/8

 Nov 12, 2015

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