Maths Question. Simplify this please?

Question

Simplify 4p^3q^3/(2pr)^3

I get 4q^3/2r^3, but the answer is q^3/2r^3

I don't understand how to get rid of the 4.  Thanks.

? · Accepted Answer

2x2xpxpxpxqxqxq / 2x2x2xpxpxpxrxrxr=====qxqxq / 2xrxrxr====q^3 / 2r^3

Battleaxe · Answer

4p^3q^3/(2pr)^3 =
4p^3q^3/8p^3r^3 =
4/8 = 1/2

- .--

? · Answer

4p^3q^3/(2pr)^3 =
4p^3q^3/8p^3r^3 =
1q^3/2r^3

? · Answer

2^2 * p^3 * q^3 * 2^(-3) * p^(-3) * r^(-3)
=2^(2-3) * p^(3-3) * q^3 * r^(-3)
=2^(-1) * P^0 * q^3 * r^(-3)
p^0=1
2^-1=1/2
r^-3=1/r^3
=q^3/2r^3

? · Answer

(2pr)Â³ = 8pÂ³rÂ³

=> 4pÂ³qÂ³/8pÂ³rÂ³

=> (4/8)(pÂ³qÂ³/pÂ³rÂ³)

i.e. (1/2)(qÂ³/rÂ³) => (1/2)(q/r)Â³...or qÂ³/2rÂ³

:)>

? · Answer

4(p^3)(q^3)/((8)(p^3)(r^3))
=q^3/2r^3

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