(1.96)^5 \div (2.744)^3 \times (140 \div 100)^5 = [1.4]^{x\times2 }

Powers and Roots Practice Test 5

Question : 28 of 31

Marks: +1, -0

(1.96)^5 ÷ (2.744)^3 × (140 ÷ 100)^5

= [1.4]^{x×2 }

Solution:

(1.96)^5 ÷ (2.744)^3 × (140 ÷ 100)^5 = [1.4]^{x×2 }

(1.96)^5 ÷ (1.96×1.4)^3 × (1.40 )^5 = (1.4^x)^2

(1.96)^5 ÷ [(1.96)^3×(1.4)^3] × (1.4 )^5 = (1.4^x)^2

(1.4)^4 ÷(1.4)^3 × (1.4 )^5 = (1.4^x)^2

(1.4)^1 × (1.4 )^5 = (1.4^x)^2

(1.4)^6 = (1.4^x)^2

x=3

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