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Help me and thank you

Help me and thank you-example-1
User Hobhouse
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2 Answers

7 votes

Answer:

A) 8x⁶

Explanation:

Exponents have different rules for operations such as multiplication.

Multiplying Coefficients

When multiplying different terms with exponents, the first thing we should do is multiply the coefficients. Even though there are variables with different exponents, we still multiply the coefficients like normal. This means that the coefficient of the answer should be 8 because 4 * 2 =8. However, you should note that you can only multiply the coefficients and simply the expression if the terms have the same variable.

Multiplying Exponents

To multiply 2 terms with exponents, you should add the exponents together. For example, x⁴ * x⁶ = x¹⁰. No matter what the coefficients are, if the variables are the same, then this method will work. This means that x³ * x³ = x⁶. Then, combine this with the coefficient from before and 4x³ * 2x³ = 8x⁶.

User Janbrohl
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8.0k points
5 votes

Answer:

Option A, is 8x^6.

Explanation:

4x³ × 2x³ = (4 × 2) x^(3+3) = 8x^6

Therefore, 4x³ × 2x³ simplifies to 8x^6.

You're welcome. :)

User Gmhk
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