Simplify (6m^-2n^8)(-9m^-5n^7)

Math
(6m-2n8)(-9m-5n7)
Multiply m-2 by m-5 by adding the exponents.
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Move m-5.
6(m-5m-2)n8(-9n7)
Use the power rule aman=am+n to combine exponents.
6m-5-2n8(-9n7)
Subtract 2 from -5.
6m-7n8(-9n7)
6m-7n8(-9n7)
Multiply n8 by n7 by adding the exponents.
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Move n7.
6m-7(n7n8)⋅-9
Use the power rule aman=am+n to combine exponents.
6m-7n7+8⋅-9
Add 7 and 8.
6m-7n15⋅-9
6m-7n15⋅-9
Rewrite the expression using the negative exponent rule b-n=1bn.
61m7n15⋅-9
Combine 6 and 1m7.
6m7n15⋅-9
Combine 6m7 and n15.
6n15m7⋅-9
Multiply 6n15m7⋅-9.
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Combine 6n15m7 and -9.
6n15⋅-9m7
Multiply -9 by 6.
-54n15m7
-54n15m7
Move the negative in front of the fraction.
-54n15m7
Simplify (6m^-2n^8)(-9m^-5n^7)

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