Simplify the following exponents.

(3x^ay^bz^c)(-y^fz^g)

what did you get ?

I will check your answer

To simplify the given expression, we will combine the like terms and apply the exponent rules. Let's break it down step by step:

1. First, we will multiply the coefficients (numbers) together: 3 * (-1) = -3.

Now, let's simplify the variable parts:

2. For the x terms, we combine the exponents by adding them: x^a * x^0 = x^(a+0) = x^a.

3. For the y terms, we subtract the exponents since they have different signs: y^b * y^-f = y^(b-f).

4. For the z terms, we add the exponents: z^c * z^g = z^(c+g).

Putting it all together, the simplified expression is:

-3x^ay^(b-f)z^(c+g)

And that's how you simplify the given expression by combining the exponents and applying the exponent rules.