Let's simplify the expression: 3w6 × 5w-2
Step 1: Multiply the numerical coefficients.
The numbers are 3 and 5. Multiply them:
3 × 5 = 15
Step 2: Multiply the powers of w.
Recall the rule for multiplying powers with the same base:
wa × wb = wa + b
Here, powers are 6 and -2:
w6 × w-2 = w6 + (-2) = w4
Step 3: Write the simplified expression.
Putting it all together:
15 × w4 = 15w4
Final answer: 15w4