Question

5^2^3 what and how is the answer

Answer 1

Answer:

The value of $(5^2)^3$ is 15625.

Step-by-step explanation:

We know that for any number $a$,

$(a^m)^n=a^{mn}\\a^m \times a^n=a^{m+n}$

We need to calculate $(5^2)^3$.

Using the above rules of exponents, we have

$(5^2)^3=5^{2\times 3}=5^6=15625$

We can also evaluate the same in the following way.

$(5^2)^3= 5^2\times 5^2\times 5^2=5^{2+2+2}=5^6=15625$

Hence the value of $(5^2)^3$ is 15625.