What is the value of ?

Answer and explanation

Correct answer: D. 78125

  1. Step 1: Apply the exponent quotient rule for identical bases with base .
  2. Step 2: Subtract the powers in the numerator and denominator: .
  3. Step 3: Compute the resulting power: .
Answer
78125.
Why not the others: 15625 is (off by 1 in exponent); 35 computes base exponent (); 9765625 is ; 234375 is .

Practise more Powers and roots.

Free questions with an explanation for every one, and full timed CAT mock tests.