Question

Find the number of zeroes at the end of the product of the expression $(15^2\times{12^6}\times{50^4}\times{4^2})$ ?

• A. 12
• B. 10
• C. 8
• D. 15

Answer 1

Answer:

B. 10

Given:

Given Expression: 15² $\times$ 126 $\times$ 504 $\times$ 42

Calculation:

15² $\times$ 12⁶ $\times$ 50⁴ $\times$ 4²

⇒ (5$\times$ 3)² $\times$ (2² $\times$ 3)⁶ $\times$ (5² $\times$ 2)⁴ $\times$ 2⁴

⇒ 5² $\times$ 3² $\times$ 2¹² $\times$ 3⁶ $\times$ 5⁸ $\times$ 2⁴ $\times$ 2⁴

⇒ 5¹⁰ $\times$ 2²⁰ $\times$ 3⁸

⇒ 10¹⁰ $\times$ 2¹⁰ $\times$ 3⁸

∴ There will be 10 zeroes at the end of the product of the given expression.