Answer :
To simplify the expression [tex]\(\left(p^2\right)^3\)[/tex], let's go through the steps together:
1. [tex]\(\left(p^2\right)^3\)[/tex] means we have [tex]\(p^2\)[/tex] raised to the power of 3.
2. According to the rules of exponents, specifically the power of a power rule [tex]\((a^m)^n = a^{m \cdot n}\)[/tex], we multiply the exponents together.
3. Therefore, we have:
[tex]\[ (p^2)^3 = p^{2 \cdot 3} \][/tex]
4. Multiplying the exponents, [tex]\(2 \cdot 3 = 6\)[/tex].
5. So, we get:
[tex]\[ (p^2)^3 = p^6 \][/tex]
Therefore, the expression [tex]\(\left(p^2\right)^3\)[/tex] simplifies to [tex]\(p^6\)[/tex].
1. [tex]\(\left(p^2\right)^3\)[/tex] means we have [tex]\(p^2\)[/tex] raised to the power of 3.
2. According to the rules of exponents, specifically the power of a power rule [tex]\((a^m)^n = a^{m \cdot n}\)[/tex], we multiply the exponents together.
3. Therefore, we have:
[tex]\[ (p^2)^3 = p^{2 \cdot 3} \][/tex]
4. Multiplying the exponents, [tex]\(2 \cdot 3 = 6\)[/tex].
5. So, we get:
[tex]\[ (p^2)^3 = p^6 \][/tex]
Therefore, the expression [tex]\(\left(p^2\right)^3\)[/tex] simplifies to [tex]\(p^6\)[/tex].
