How do you simplify without negative exponents #(b^2)^-6/b^-4#?

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Answer 1 · 2015-10-19T04:28:24

The answer is #1/b^8#.

#(b^2)^-6/b^-4#

Simplify.

Apply exponent rule #(a^m)^n=a^(m*n)#

#b^(-12)/b^-4#

Apply quotient rule #a^m/a^n=a^(m-n)#

#b^(-12-(-4)=#

#b^(-12+4)=#

#b^-8#

Apply the negative exponent rule #a^(-m)=1/a^m#.

#b^(-8)=1/b^8#