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

Question

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Given, 1960 = 2a × 5b × 7c Factorizing 1960, we get : ⇒ 1960 = 23 × 51 × 72 Equating the exponents, ⇒ 23 × 51 × 72 = 2a × 5b × 7c ⇒ a = 3, b = 1, c = 2. The value of 2-a × 5-c × 7b, Hence, a = 3, b = 1, c = 2 and 2-a × 5-c × 7b = . Solve for x:

Mathematics

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

Indices

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Mathematics

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

Indices

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

If 21168 = x⁴ × y³ × z², find the values of x, y, z.

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