(3x^2)(-2x^-8)
To simplify the expression (3x^2)(-2x^-8), we can multiply the coefficients together and add the exponents of x.
3 * -2 = -6
x^2 * x^-8 = x^2 + -8 = x^(2-8) = x^-6
Therefore, the simplified expression is -6x^-6.
To simplify the expression (3x^2)(-2x^-8), we can combine the coefficients and the variables separately.
Let's start with the coefficients: 3 multiplied by -2 equals -6.
Next, let's simplify the variables. When multiplying variables with the same base, we keep the base and add the exponents. In this case, the base is x.
For the x^2 term, we multiply it by x^-8. To combine the exponents, we subtract the exponent of x^2 from x^-8:
-8 - 2 = -10
Therefore, the simplified form of (3x^2)(-2x^-8) is -6x^-10.