Learn how to simplify algebraic expressions involving multiplication and exponents, specifically 3w^6 times 5w^-2, in a step-by-step guide suitable for 13-year-olds.
Let's simplify the expression: 3w6 × 5w-2
The numbers are 3 and 5. Multiply them:
3 × 5 = 15
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
Putting it all together:
15 × w4 = 15w4
Final answer: 15w4
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