Simplify ( 5 × 5 × 5 ×

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Simplify ( 5 × 5 × 5 × 5 × 5 )⁵ ×(5 × 5 × 5 )⁵ ÷ 5 = (125)^? .

Options:

Correct Answer:

Explanation:

(5 × 5 × 5 × 5 × 5 )⁵ × (5 × 5 × 5)⁵÷ 5 = (125)^?

= (5 × 5 × 5)⁵ × (5 × 5)⁵ × (125)⁵ ÷ 5 = (125)^?

= (125)¹⁰ × 125 × 125 × 5¹ × 5² = (125)^?

= (125)^{10 + 2 + 1} = (125)^?

= (125)¹³ = (125)^?

? = 13