isabella292008
Answered

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Choose the correct simplification of the expression [tex]\left(a^2\right)^3[/tex].

A. [tex]a^5[/tex]
B. [tex]a^3[/tex]
C. [tex]a[/tex]
D. [tex]a^6[/tex]

Sagot :

GinnyAnswer
Let's simplify the expression [tex]\(\left( a ^2\right)^3\)[/tex].

To simplify an expression of the form [tex]\((x^m)^n\)[/tex], you use the power of a power rule in exponents. The rule states that [tex]\((x^m)^n = x^{m \cdot n}\)[/tex], where you multiply the exponents.

Applying this rule to our given expression:

[tex]\[ \left( a^2 \right)^3 \][/tex]

We multiply the exponents:

[tex]\[ a^{2 \cdot 3} = a^6 \][/tex]

Therefore, the correct simplification of the expression [tex]\(\left( a ^2\right)^3\)[/tex] is:

[tex]\[ a^6 \][/tex]

So, the correct answer is [tex]\(a^6\)[/tex].
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