The solution is [tex]2^{2/3}[/tex].
What is the fraction?
A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
What is Prime Factorization?
Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.
Given expression as:
[tex]\dfrac{8^1^/^3\times16^{1/3}}{32^{1/3}}[/tex]
We need to write 32 as the product of its factors, which is 32.
⇒ 8 × 2 × 2.
[tex]=\dfrac{8^1^/^3\times8^1^/^3\times2^{1/3}}{8^1^/^3\times2^{1/3}\times2^{1/3}}[/tex]
[tex]=\dfrac{8^1^/^3}{2^{1/3}} =( {\dfrac{8}{2}})^{1/3} = ( {4)^{1/3}[/tex]
Divided by 2
[tex]= 2^{2/3}[/tex]
Hence, the solution is [tex]2^{2/3}[/tex].
Learn more about the fraction here:
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