(1.96)^5 \div (2.744)^3 \times (140 \div100)^4 = (1.4)^{x+2 }

Simplification Test 9

Question : 3 of 38

Marks: +1, -0

(1.96)^5 ÷ (2.744)^3 × (140 ÷100)^4

= (1.4)^{x+2 }

Solution:

(1.4)^{x+2 }=

(1.96)^5 ÷ (2.744)^3 × (140 ÷100)^4

(1.4)^{x+2 }=

( (1.4)^2)^5 ÷ ((1.4)^3)^3 × (1.4)^4

(1.4)^{x+2 }=

(1.4)^10÷(1.4)^9×(1.4)^4

(1.4)^{x+2 }=

(1.4)^{10-9} ×(1.4)^4

(1.4)^{x+2 }=

(1.4)^{1} ×(1.4)^4

(1.4)^{x+2 }=

(1.4)^{1+4}

x+2=5

x=3

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