w10y12z
_______
w6z5
Are those exponents like [(w^10)*(y^12)*z]/[(w^6)*(z^5)]?
If so then you should have some rules telling you how to simplify ratios of expressions. If the exponent of the numerator's term is greater than the term's exponent in the denominator, then subtract the denominator exp. from the numerator exp. For this problem w in the numerator has an exponent = 10 and the denominator exponent for w is 6. So subtract 6 from 10 to get w^4 in the numerator. The exp. of z is 5-1=4 for z in the denominator.
Yes, you are correct. The expression (w^10 * y^12 * z) / (w^6 * z^5) can be simplified using the rules of exponents.
To simplify this expression, you subtract the exponent of the term in the denominator from the exponent of the corresponding term in the numerator.
In this case, the exponent of w in the numerator is 10, and in the denominator is 6. So you subtract 6 from 10, which gives you w^4 in the numerator.
Similarly, the exponent of z in the numerator is 1 (since the term z is not present in the numerator), and in the denominator is 5. So you subtract 5 from 1, which gives you z^-4 in the denominator.
Therefore, the simplified expression is:
w^4 * y^12 / z^4