How do you simplify #(-5ab^-2c^3)(a^-3bc^-2)(-3a^2bc^4) #?

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Answer 1 · 2015-11-07T10:10:24

The answer is #15c^5#.

#(-5ab^(-2)c^3)(a^(-3)bc^(-2))(-3a^2bc^4)#

Apply the exponent product rule #a^m*a^n=a^(m+n)# .

#15a^((1+(-3)+2))b^((-2+1+1))c^((3+(-2)+4))#

Simplify.

#15a^0b^0c^5#

Apply exponent rule #x^0=1#

#15xx1xx1xxc^5=#

#15c^5#