Answer :
Sure! Let's simplify the expression [tex]\(2(x^2)^3\)[/tex] step-by-step.
1. Understand the expression:
- You have the expression [tex]\(2(x^2)^3\)[/tex].
2. Apply the power rule for exponents:
- The power rule states that [tex]\((a^m)^n = a^{m \times n}\)[/tex]. Apply this to [tex]\((x^2)^3\)[/tex]:
[tex]\[
(x^2)^3 = x^{2 \times 3} = x^6
\][/tex]
3. Multiply the simplified expression by 2:
- Now, substitute [tex]\(x^6\)[/tex] back into the expression and multiply by 2:
[tex]\[
2 \cdot x^6 = 2x^6
\][/tex]
So, the simplified expression is [tex]\(\boxed{2x^6}\)[/tex].
1. Understand the expression:
- You have the expression [tex]\(2(x^2)^3\)[/tex].
2. Apply the power rule for exponents:
- The power rule states that [tex]\((a^m)^n = a^{m \times n}\)[/tex]. Apply this to [tex]\((x^2)^3\)[/tex]:
[tex]\[
(x^2)^3 = x^{2 \times 3} = x^6
\][/tex]
3. Multiply the simplified expression by 2:
- Now, substitute [tex]\(x^6\)[/tex] back into the expression and multiply by 2:
[tex]\[
2 \cdot x^6 = 2x^6
\][/tex]
So, the simplified expression is [tex]\(\boxed{2x^6}\)[/tex].
