Question

What's the value of :-

5^7/3​

Answer 1

(5^7) / 3 = 26041.67

 5 ^ (7/3)  = 42.75

Step-by-step explanation:

We have to apply the PEMDAS rule to solve this question.

According to the PEMDAS rule, the order in which operations are performed  is parenthesis first, exponents second, multiplication/division next, and addition/subtraction after that. Operations of the same hierarchy are performed from left to right in the order they appear.

So 5^7/3 has no brackets. Hence solve the exponent function first.

5^7 = 25 * 25 * 25 * 5 = 78125

Now let's solve the division operation.

5^7 / 3 = 78125/3 = 26041.67

But if there was a bracket enclosing 7/3, then it would be the whole exponent and the solution will be:

5 ^ (7/3) = cube root of (5^7)

 = cube root of 78125

 = 42.75