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kondaur [170]
2 years ago
11

Which function has a simplified base of 4^sqrt 4 ?

Mathematics
2 answers:
vodka [1.7K]2 years ago
6 0

Answer:

c is your answer just took the quiz

Step-by-step explanation:

viva [34]2 years ago
5 0

Answer:

<h3>f(x) = 4^{(\sqrt[3]{64} )^{2x}}.</h3>

Step-by-step explanation:

We are given functions

f(x) = 2^{(\sqrt[3]{16} )}

f(x) = 2^{(\sqrt[3]{64} )}

f(x) = 4{(\sqrt[3]{12})^{2x}}

f(x) = 4^{(\sqrt[3]{64} )^{2x}}.

We need to find the function with simplified base of 4.

Let us simplify each of the function one by one.

On simplifying exponent in2^{(\sqrt[3]{16} )}, we get 2^{(2\sqrt[3]{2} )}.

On simplifying exponent in 2^{(\sqrt[3]{64} )} we get 2^{4}.

On simplifying 4{(\sqrt[3]{12})^{2x}} we get 4\left(\sqrt[3]{12}\:\:\right)\left(\sqrt[3]{12}\:\:\right)^x=4\left(\sqrt[3]{12\cdot 12}\right)\:^x=4\left(2\sqrt[3]{18}\right)^x.

On simplifying 4^{(\sqrt[3]{64} )^{2x}} we get 4^{\left(\sqrt[3]{64}\:\right)^{2x}}=4^{\left(4\:\right)^{2x}}=\:4^{16^x}.

Therefore, fourth function f(x) = 4^{(\sqrt[3]{64} )^{2x}} has simplified base 4.




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