(1.69)^4 \div (2,197 \div 1,000)^3 \times (0.13 \times 10)^3 = (1.3 )^ {x-2}

Simplification Test 8

Question : 1 of 40

Marks: +1, -0

(1.69)^4 ÷ (2,197 ÷ 1,000)^3 × (0.13 × 10)^3 = (1.3 )^ {x-2}

Solution:

(1.3 )^ {x-2}=(1.69)^4 ÷ (2,197 ÷ 1,000)^3 × (0.13 × 10)^3

(1.3 )^ {x-2}=((1.3)^2)^4÷((1.3)^3)^3×(1.3)^3

(1.3 )^ {x-2}={(1.3)^8÷(1.3)^9}×(1.3)^3

(1.3 )^ {x-2}={(1.3)^8/(1.3)^9}×(1.3)^3

(1.3 )^ {x-2}=(1.3)^2

x-2=2

⇒x=4

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