Simplify this expression, assume a and b are positive real numbers and m and n are rational numbers.?
It’s hard to write this one. All numbers are in a big perenthesis and the -1/3 is on the outside of the perenthesis on the end.
The a^-3//^mb^6//^n is at the top of the fraction in perenthesis, the “//” denotes a regular slash in the equation (it is not a division sign)
The a^-6//^mb^9//^n is at the bottom of the fraction in perenthesis. The “//” denotes a regular slash in the equation (it too is not a division sign)
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If so, we can eliminate the n, as both numerator and denominator are raised to that power. Similarly we eliminate mb^6 from the numerator and denominator. We are left with:
(a^-3)/[(a^-6)^(b^3)], which is a^(6b^3)/a^3 = a^(6b^3 – 3) = a^[3(b^3 – 1)]
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