Question

The number of zeroes at the end of the product of the expression (125⁴ × 8³⁴ × 4³ × 25⁴) is –
1. 20
2. 25
3. 22
4. 24

Answer 1

Correct Answer - Option 1 : 20

GIVEN:

N = 125⁴ × 8³⁴ × 4³ × 25⁴

CONCEPT:

The number of zeroes is the number of power of 10.

CALCULATION:

N = 125⁴ × 8³⁴ × 4³ × 25⁴

N = 5¹² × 2¹⁰² × 2⁶ × 5⁸

N = 5²⁰ × 2¹⁰⁸

N = 10²⁰ × 2⁸⁸

∴ The number of zeroes of the expression 125⁴ × 8³⁴ × 4³ × 25⁴ is 20.