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4 votes
4 votes
What is the product of x^7 and x^4?

User Alex Kovshovik
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2.3k points

1 Answer

11 votes
11 votes

Explanation:

For this problem, we need to focus on the exponent rule for multiplying.

Rule:


x^(a) * {x}^(b) = {x}^(a + b)

In words:

When multiplying with exponents, the exponents add.

For this problem, we'll be adding the exponents of 7 and 4.

Solve:


{x}^(7) * {x}^(4) = {x}^(7 + 4) = {x}^(11)

Your product is x^11 (x to the 11th power)

User Pankus
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2.8k points