Originally Posted by

**ticbol** If the sign of the exponent is negative, it means the number/variable/expression is in the "wrong" side of the fraction.

2 is a fraction. It is 2/1.

So, a^(-2) is a fraction too. It is a^(-2) / 1.

The -2 exponent of "a" means a is in the "wrong" side of the fraction. To eliminate the negative sign, just place the "a" in its correct side. If the numerator side is the "wrong" side, then the denominator side must be the "correct" side.

so, a^(-2) = 1 / (a^2)

and, 3 / [5^(-m)] = 3*5^m

and, m^(-3) / [-(3^(-m))]

= 3^m / [-1 *m^3]

= 3^m / [-(m^3)]

Okay. So,

5m^-3

__________

6^-1 m^-2

= 5*(6^1)(m^2) / m^3

= 30/m ------------------answer.

= 30*m^(-1) ------------answer also.

-----------------------------------------

Or, if you don't want to be bothered by putting the expressions in their "correct" sides in the fraction, then just use the exponent rules.

a^b * a^c = a^(b+c)

a^b / a^c = a^(b -c)

5m^-3

__________

6^-1 m^-2

= 5*(6^1)[m^(-3 -(-2))]

= 5(6)[m^(-1)]

= 30m^(-1) --------------------same as above.