Question

2w^(9)x^(7)*6x^(8)*3w Simplify

Answer 1

The simplified expression for 2w9x7 × 6x8 × 3w is 6w10x15 by using the laws of exponents to combine like terms.

Step-by-step explanation:

To simplify the expression 2w9x7 × 6x8 × 3w, we first look for like terms and use the laws of exponents. In particular, when we multiply terms with the same base, we add their exponents as per the rule xpxq = x(p+q).

First, let's combine the w terms:

• 2w9 × 3w = 6w10 because w9w = w(9+1) = w10

Next, combine the x terms:

• x7 × x8 = x(7+8) = x15

Now multiply the numeric coefficients and the new exponential terms:

6w10 × x15

Finally, the simplified expression is 6w10x15.