High School

What is [tex]x^2 \times x^4[/tex]?

A. [tex]x^8[/tex]
B. [tex]x^6[/tex]
C. [tex]2(x^8)[/tex]
D. [tex]2x^6[/tex]

Answer :

Final answer:

The product of x^2 and x^4 is x^6, since when we multiply two powers with the same base, we add the exponents. Hence, the correct answer is B. x^6.

Explanation:

The question asks for the product of x^2 and x^4. A basic rule in mathematics says that when multiplying two powers that have the same base, you add the exponents. Here, the base is x and the exponents are 2 and 4. Therefore, by adding the exponents together, the solution is x^(2+4), which equals x^6.

The expression x2x4 can be simplified by combining the exponents. When you raise a power to another power, you multiply the exponents. So, x2x4 is equal to x2+4 which simplifies to x6. Therefore, the correct answer is B. x6.

So, the correct answer to your question would be option B. x6.

Learn more about Multiplication of Powers here:

https://brainly.com/question/33016744

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