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.