Which of the following is equivalent to (6x^4)(3x^2)?
(6*3)*x^(4+2)
(6*3)*x^(4+2)
To find the equivalent expression, we need to multiply the coefficients and add the exponents.
The coefficient of (6x^4) is 6 and the coefficient of (3x^2) is 3. Multiplying these coefficients, we get:
6 * 3 = 18
The exponent of x in (6x^4) is 4 and the exponent of x in (3x^2) is 2. Adding these exponents, we get:
4 + 2 = 6
Therefore, the equivalent expression is:
18x^6
To find the equivalent expression for (6x^4)(3x^2), you can simplify the product of the coefficients and add the exponents of the variables that have the same base.
Step 1: Multiply the coefficients: 6 * 3 = 18.
Step 2: Add the exponents of the variable x: 4 + 2 = 6.
Therefore, the equivalent expression is 18x^6.