Question

Find the value of (243)1/5

Answer 1

Answer:

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Answer 2

Given,

• $(243)^{1/5}$ is given.

To find,

• We have to find the value of $(243)^{1/5}$.

Solution,

We can simply find the value of  $(243)^{1/5}$ by using the laws of exponents.

  Now, we can write 243 as the product of prime factors

Using the prime factorization method, 243 can be written as 3*3*3*3*3 = (3)⁵

then,          =   $(243)^{1/5}$

                 =    $(3^{5})^{1/5}$

Using $(a^m)^n = (a)^{mn}$, we get

                 = $(3)^{5*1/5}$

                 = $(3)$

Hence, the value of $(243)^{1/5}$ is 3.