Simplify (3m^6n^5)(15m^2n^3)

Math
(3m6n5)(15m2n3)
Multiply m6 by m2 by adding the exponents.
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Move m2.
3(m2m6)n5(15n3)
Use the power rule aman=am+n to combine exponents.
3m2+6n5(15n3)
Add 2 and 6.
3m8n5(15n3)
3m8n5(15n3)
Multiply n5 by n3 by adding the exponents.
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Move n3.
3m8(n3n5)⋅15
Use the power rule aman=am+n to combine exponents.
3m8n3+5⋅15
Add 3 and 5.
3m8n8⋅15
3m8n8⋅15
Multiply 15 by 3.
45m8n8
Simplify (3m^6n^5)(15m^2n^3)
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