If 1960 = 2^a.5^b.7^c, calculate the value of 2^-a.7^b.5^-c.

Question

KnowledgeBoat · Accepted Answer

Factorizing 1960, we get : ⇒ 1960 = 2³.5¹.7² ⇒ 2^a.5^b.7^c = 2³.5¹.7² ⇒ a = 3, b = 1 and c = 2. Substituting values of a, b and c in 2^-a.7^b.5^-c, we get : Hence, 2^-a.7^b.5^-c = .

Mathematics

If 1960 = 2^a.5^b.7^c, calculate the value of 2^-a.7^b.5^-c.

Indices

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If 2160 = 2^a.3^b.5^c, find a, b and c. Hence, calculate the value of 3^a × 2^-b × 5^-c.

Mathematics

If 1960 = 2a.5b.7c, calculate the value of 2-a.7b.5-c.

Indices

Related Questions

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If 1960 = 2^a.5^b.7^c, calculate the value of 2^-a.7^b.5^-c.

Simplify the following and express with positive index :
[1 - {1 - (1 - n)^-1}^-1]^-1

If 2160 = 2^a.3^b.5^c, find a, b and c. Hence, calculate the value of 3^a × 2^-b × 5^-c.