Question

Simplify: 6w * 4w^(6)y² * 2y^(3).

Answer 1

The simplified form of the expression 6w * 4w^6y^2 * 2y^3 is 48w^7y^5, which is found by multiplying coefficients and adding exponents of like bases.

Step-by-step explanation:

To simplify the expression 6w * 4w6y2 * 2y3, we multiply the coefficients (numerical parts) and then apply the rule of exponents for the variables with similar bases.

First, multiply the coefficients: 6 * 4 * 2 = 48.

For the variable w, we have w1 and w6. According to the rules for multiplying exponentials, we add the exponents of like bases, so w1 * w6 = w1+6 = w7.

For the variable y, we have y2 * y3. Similarly, we add those exponents to get y2+3 = y5.

Combining these, the simplified form of the expression is 48w7y5.