Answered

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Simplify [tex]\left(3 x^3\right)\left(4 x^4\right)[/tex].

A. [tex]7 x^{12}[/tex]
B. [tex]7 x^7[/tex]
C. [tex]12 x^7[/tex]
D. [tex]12 x^{12}[/tex]

Sagot :

GinnyAnswer
To simplify the expression [tex]\((3x^3)(4x^4)\)[/tex], we need to follow these steps:

1. Multiply the coefficients: The coefficients are the numerical parts of the terms. In this case, we have 3 and 4.

[tex]\[ 3 \times 4 = 12 \][/tex]

2. Add the exponents of [tex]\(x\)[/tex]: When multiplying terms with the same base (in this case, [tex]\(x\)[/tex]), we add their exponents. The exponents we have are 3 and 4.

[tex]\[ 3 + 4 = 7 \][/tex]

3. Combine the results: The new term will have the coefficient resulting from the multiplication and the exponent resulting from the addition.

[tex]\[ 12x^7 \][/tex]

So, the simplified expression is:

[tex]\[ 12 x^7 \][/tex]

Therefore, the correct answer is:

[tex]\[ \boxed{12 x^7} \][/tex]
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