pretzel199
Answered

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What is the simplified form of the following expression?

[tex]\[ (x^{10})(x^2) \][/tex]

A. [tex]\( x^{20} \)[/tex]
B. [tex]\( x^{12} \)[/tex]
C. [tex]\( x^8 \)[/tex]
D. [tex]\( x^{100} \)[/tex]

Sagot :

GinnyAnswer
To simplify the expression
[tex]\[ \left(x^{10}\right)\left(x^2\right) \][/tex]

we can use the laws of exponents. Specifically, when multiplying two powers with the same base, we add their exponents. Therefore, we get:

[tex]\[ (x^{10})(x^2) \][/tex]

Adding the exponents:

[tex]\[ x^{10 + 2} = x^{12} \][/tex]

Thus, the simplified form of the expression is [tex]\( x^{12} \)[/tex].

So, the correct answer is:
[tex]\[ x^{12} \][/tex]
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