(-2x^8)x3y^9x2x^4
To simplify the expression (-2x^8)(3y^9)(x^2)(x^4), we can start by multiplying the numerical coefficients together, which gives us -6.
Next, we can multiply the variables with the same base, "x," by adding their exponents. In this case, we add the exponents of x in each term:
(-2x^8)(3y^9)(x^2)(x^4) = -6x^(8+2)x^(4)
Simplifying further:
-6x^(8+2)x^(4) = -6x^10x^4
Combining the variables again by adding their exponents:
-6x^10x^4 = -6x^(10+4)
Finally, simplifying the exponents gives us the final answer:
-6x^(10+4) = -6x^14
Therefore, (-2x^8)(3y^9)(x^2)(x^4) simplifies to -6x^14.
To simplify the expression (-2x^8) x 3y^9 x 2x^4, we can start by multiplying the coefficients (-2) and (3), and then multiply the variables x and y separately. Finally, we can combine the variable terms with the same base.
Step 1: Multiply the coefficients: (-2) x (3) = -6
Step 2: Multiply the variable terms:
- x^8 multiplied by x^4: When multiplying terms with the same base, you add the exponents. So, x^8 x x^4 = x^(8+4) = x^12
- y^9: Since there are no other y terms, we keep it as it is.
Therefore, the simplified expression is: -6x^12y^9
To simplify the expression (-2x^8)(3y^9)(2x^4), you can follow these steps:
Step 1: Multiply the coefficients (-2)(3)(2). This gives you -12.
Step 2: Multiply the x-terms together by adding the exponents. x^8 * x^4 = x^(8+4) = x^12.
Step 3: Multiply the y-term. There is only one y-term, which is y^9.
Putting it all together, the simplified expression is -12x^12y^9.