Solve (((((((cos(pi)^6) / 16) * (cos(3 * pi)^6)) / 16

Evaluate

(((((((cos (p i)^{6}) \div 16) (cos (3 p i)^{6})) \div 16) (cos (5 p i)^{6})) \div 16) (cos (7 p i)^{6})) \div 16

Remove the parentheses

(((((((cos (p i)^{6}) \div 16) cos (3 p i)^{6}) \div 16) cos (5 p i)^{6}) \div 16) cos (7 p i)^{6}) \div 16

Use the commutative property to reorder the terms

(((((((cos (i p)^{6}) \div 16) cos (3 p i)^{6}) \div 16) cos (5 p i)^{6}) \div 16) cos (7 p i)^{6}) \div 16

Multiply the terms

More Steps

(((((((- cos p^{6}) \div 16) cos (3 p i)^{6}) \div 16) cos (5 p i)^{6}) \div 16) cos (7 p i)^{6}) \div 16

Divide the terms

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((((((- \frac{cos p ^{6}}{16}) cos (3 p i)^{6}) \div 16) cos (5 p i)^{6}) \div 16) cos (7 p i)^{6}) \div 16

Remove the parentheses

(((((- \frac{cos p ^{6}}{16} cos (3 p i)^{6}) \div 16) cos (5 p i)^{6}) \div 16) cos (7 p i)^{6}) \div 16

Multiply the numbers

(((((- \frac{cos p ^{6}}{16} cos (3 i p)^{6}) \div 16) cos (5 p i)^{6}) \div 16) cos (7 p i)^{6}) \div 16

Multiply the terms

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((((\frac{729 c ^{2} o ^{2} s ^{2} p ^{12}}{16} \div 16) cos (5 p i)^{6}) \div 16) cos (7 p i)^{6}) \div 16

Divide the terms

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(((\frac{729 c ^{2} o ^{2} s ^{2} p ^{12}}{256} cos (5 p i)^{6}) \div 16) cos (7 p i)^{6}) \div 16

Multiply the numbers

(((\frac{729 c ^{2} o ^{2} s ^{2} p ^{12}}{256} cos (5 i p)^{6}) \div 16) cos (7 p i)^{6}) \div 16

Multiply the terms

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(((- \frac{11390625 c ^{3} o ^{3} s ^{3} p ^{18}}{256}) \div 16) cos (7 p i)^{6}) \div 16

Divide the terms

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((- \frac{11390625 c ^{3} o ^{3} s ^{3} p ^{18}}{4096}) cos (7 p i)^{6}) \div 16

Remove the parentheses

(- \frac{11390625 c ^{3} o ^{3} s ^{3} p ^{18}}{4096} cos (7 p i)^{6}) \div 16

Multiply the numbers

(- \frac{11390625 c ^{3} o ^{3} s ^{3} p ^{18}}{4096} cos (7 i p)^{6}) \div 16

Multiply the terms

More Steps

\frac{11390625 \times 7 ^{6} c ^{4} o ^{4} s ^{4} p ^{24}}{4096} \div 16

Multiply by the reciprocal

\frac{11390625 \times 7 ^{6} c ^{4} o ^{4} s ^{4} p ^{24}}{4096} \times \frac{1}{16}

Multiply the terms

\frac{11390625 \times 7 ^{6} c ^{4} o ^{4} s ^{4} p ^{24}}{4096 \times 16}

Solution

\frac{11390625 \times 7 ^{6} c ^{4} o ^{4} s ^{4} p ^{24}}{65536}

Simplify the expression