A few days ago
sunshine2211

Simplify this expression, assume a and b are positive real numbers and m and n are rational numbers.?

(a^-3//^mb^6//^n/a^-6//^mb^9//^n)-1/3

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)

Top 1 Answers
A few days ago
John V

Favorite Answer

I can only assume that your // are meant to be the exponents of the previous parts of each expression. But this is very unclear and NOT STANDARD NOTATION!!

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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