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Softa [21]
3 years ago
15

Which is equivalent to 64 to the 1/4 power

Mathematics
1 answer:
Sladkaya [172]3 years ago
5 0

Answer:

The answer to your question is the first option

Step-by-step explanation:

                                            64^{1/4}

Process

1.- Find the prime factors of 64

                                      64  2

                                      32  2

                                      16   2

                                        8  2

                                        4  2

                                        2  2

                                         1

                      64 = 2⁶

2.- Express 64 as a fractional exponent

                      64^{1/4} = 2^{6/4}

3.- Simplify

                      64^{1/4} = 2^{4/4} 2^{2/4}

                      64^{1/4} = 2^{1} 2^{2/4}

                      64^{1/4} = 2\sqrt[4]{2^{2}}

4.- Result

                      64^{1/4} = 2\sqrt[4]{4}                                        

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