mckinely95
Answered

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What is the value of the expression [tex]\left(2^4\right)^2[/tex]?

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GinnyAnswer
To find the value of the expression [tex]\(\left(2^4\right)^2\)[/tex], we'll follow these steps:

1. First, we need to evaluate the inner exponentiation [tex]\(2^4\)[/tex].

[tex]\[ 2^4 = 2 \times 2 \times 2 \times 2 = 16 \][/tex]

So, [tex]\(2^4\)[/tex] equals 16.

2. Next, we take this result and raise it to the power of 2.

[tex]\[ (2^4)^2 = 16^2 \][/tex]

3. Now, we calculate [tex]\(16^2\)[/tex].

[tex]\[ 16^2 = 16 \times 16 = 256 \][/tex]

Therefore, the value of the expression [tex]\(\left(2^4\right)^2\)[/tex] is 256.
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