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matrenka [14]
2 years ago
7

Simplify the product using the rules for exponents. (4^2)^4

Mathematics
2 answers:
galben [10]2 years ago
8 0

(4^2)^4 = 4^{ (2 \times 4)} = 4^8 = 65536

elixir [45]2 years ago
4 0
<h3>Answer ↓</h3>

\Large\text{65,536}

<h3>Calculations ↓</h3>

In order to simplify this expression , we have to multiply the powers (notice that we have <em>a power to a power</em>)

Simplify as follows :

 

(4²)⁴ = 4⁽²ˣ⁴)=4⁸

4 times itself 8 times simplifies to :

<h3>65,536</h3>

\footnotesize\text{hope\:helpful~}

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