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Simplify the expression.

[tex]\[ \left(z^8\right)^2 = \square \][/tex]

Sagot :

GinnyAnswer
To simplify the expression [tex]\(\left(z^8\right)^2\)[/tex]:

1. Understand the Exponentiation Rule:
When raising a power to another power, you multiply the exponents. This is known as the power of a power property in exponents.

2. Apply the Rule:
Here, we have [tex]\(\left(z^8\right)^2\)[/tex]. According to the power of a power property, this becomes:
[tex]\[ z^{8 \times 2} \][/tex]

3. Multiply the Exponents:
Multiply 8 by 2 to get:
[tex]\[ 8 \times 2 = 16 \][/tex]

4. Write the Final Simplified Expression:
Therefore, the simplified form of [tex]\(\left(z^8\right)^2\)[/tex] is:
[tex]\[ z^{16} \][/tex]

So, the answer is:
[tex]\[ \boxed{z^{16}} \][/tex]
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