Question

If 1960 = 2^a x 5^b x 7^c, find the values of a, b, c.
Hence, calculate the value of (2^-a x5^-cx7^b).​

Answer 1

Answer:

7/200

Step-by-step explanation:

2^a × 5^b × 7^c = 1960

2^a × 5^b × 7^c = 2^3 × 5^1 × 7^2

on comparing

a = 3 , b = 1 , c = 2

equ. 2^-a × 5^-c × 7^b

= 2^-3 × 5^-2 × 7^1

= 1/8 × 1/25 × 7

7/200