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

Sagot :

[tex](4^2)^4 = 4^{ (2 \times 4)} = 4^8 = 65536[/tex]

Answer ↓

[tex]\Large\text{65,536}[/tex]

Calculations ↓

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

Simplify as follows :

 

(4²)⁴ = 4⁽²ˣ⁴)=4⁸

4 times itself 8 times simplifies to :

65,536

[tex]\footnotesize\text{hope\:helpful~}[/tex]