Rewrite without rational exponents, and simfly, if possible 256^{frac{3}{4}}

Tammy Todd

Tammy Todd

Answered question

2021-02-09

Rewrite without rational exponents, and simfly, if possible 25634

Answer & Explanation

SoosteethicU

SoosteethicU

Skilled2021-02-10Added 102 answers

Step 1
Rational exponents (also called fractional exponents) are expressions with exponents that are rational numbers (as opposed to integers).
Given rational exponent is 25634, we have find answer without rational exponent.
Step 2
We know that
256=2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
256=28
We can write 25634 as
25634=(28)34=28 × 34
=22 × 3=26
=2 × 2 × 2 × 2 × 2 × 2
=4 × 4 × 4
(256)34=64
So 25634=64
Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-27Added 2605 answers

Answer is given below (on video)

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