Simplify 3y^8*(2yx^-5)*(5v^5v^-4x^-8)

Math
3y8⋅(2yx-5)⋅(5v5v-4x-8)
Multiply y8 by y by adding the exponents.
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Move y.
3(y⋅y8)⋅(2x-5)⋅(5v5v-4x-8)
Multiply y by y8.
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Raise y to the power of 1.
3(y1y8)⋅(2x-5)⋅(5v5v-4x-8)
Use the power rule aman=am+n to combine exponents.
3y1+8⋅(2x-5)⋅(5v5v-4x-8)
3y1+8⋅(2x-5)⋅(5v5v-4x-8)
Add 1 and 8.
3y9⋅(2x-5)⋅(5v5v-4x-8)
3y9⋅(2x-5)⋅(5v5v-4x-8)
Multiply x-5 by x-8 by adding the exponents.
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Move x-8.
3y9⋅(2(x-8x-5))⋅(5v5v-4)
Use the power rule aman=am+n to combine exponents.
3y9⋅(2x-8-5)⋅(5v5v-4)
Subtract 5 from -8.
3y9⋅(2x-13)⋅(5v5v-4)
3y9⋅(2x-13)⋅(5v5v-4)
Multiply v5 by v-4 by adding the exponents.
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Move v-4.
3y9⋅(2x-13)⋅(5(v-4v5))
Use the power rule aman=am+n to combine exponents.
3y9⋅(2x-13)⋅(5v-4+5)
Add -4 and 5.
3y9⋅(2x-13)⋅(5v1)
3y9⋅(2x-13)⋅(5v1)
Simplify 3y9⋅(2x-13)⋅(5v1).
3y9⋅(2x-13)⋅(5v)
Rewrite using the commutative property of multiplication.
3⋅2(y9x-13)⋅(5v)
Multiply 3 by 2.
6(y9x-13)⋅(5v)
Rewrite the expression using the negative exponent rule b-n=1bn.
6(y91x13)⋅(5v)
Combine y9 and 1×13.
6y9x13⋅(5v)
Combine 6 and y9x13.
6y9x13⋅(5v)
Rewrite using the commutative property of multiplication.
56y9x13v
Multiply 56y9x13.
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Combine 5 and 6y9x13.
5(6y9)x13v
Multiply 6 by 5.
30y9x13v
30y9x13v
Combine 30y9x13 and v.
30y9vx13
Simplify 3y^8*(2yx^-5)*(5v^5v^-4x^-8)

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