The number 3 13 3 10 is divisible by
Asked by admin @ in Math viewed by 121 People
Thé number 3^13 - 3^10 is divisible by
Asked by admin @ in Math viewed by 121 People
Thé number 3^13 - 3^10 is divisible by
Answered by admin @
Answer:
3¹³-3¹⁰ is divisible by 3¹⁰ and 26
Explanation:
3¹³ - 3¹⁰
This can be written as:
3¹⁰ ₓ 3³ - 3¹⁰
Taking common 3¹⁰, we get
3¹⁰(3³ - 1)
= 3¹⁰ (27-1)
= 3¹⁰ × 26
Hence, 3¹⁰ and 26 are the factor of 3¹³-3¹⁰
∴ 3¹³-3¹⁰ is divisible by 3¹⁰ and 26
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