How do you multiply $4 k^{3} \cdot {(4 k)}^{3}$ $4k ^ { 3} \cdot ( 4k ) ^ { 3}$ ?

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How do you multiply $4 k^{3} \cdot {(4 k)}^{3}$ $4k ^ { 3} \cdot ( 4k ) ^ { 3}$ ?

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Answer 1 · 2017-07-22T14:15:48

$256 k^{6}$ $256k^6$

Explanation:

$4 k^{3} \cdot {(4 k)}^{3}$ $4k^3*(4k)^3$
$= 4 \cdot k^{3} \cdot {(4 k)}^{3}$ $=4*k^3*(4k)^3$
$= 4 \cdot k^{3} \cdot 4^{3} \cdot k^{3}$ $=4*k^3*4^3*k^3$
$= 4 \cdot 4^{3} \cdot k^{3} \cdot k^{3}$ $=4*4^3*k^3*k^3$
$= 4^{1 + 3} \cdot k^{3 + 3}$ $=4^(1+3)*k^(3+3)$
$= 4^{4} \cdot k^{6}$ $=4^4*k^6$
$= 4 \cdot 4 \cdot 4 \cdot 4 \cdot k^{6}$ $=4*4*4*4*k^6$
$= 256 k^{6}$ $=256k^6$

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How do you multiply $4 k^{3} \cdot {(4 k)}^{3}$ $4k ^ { 3} \cdot ( 4k ) ^ { 3}$ ?

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