Simplification Test 6

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Question : 5 of 40

Marks: +1, -0

(0.49)^4×(0.343)^4÷(0.2401)^4

=(70÷100)^{x+3}

3
1
4
7
None of these

Solution:

(70÷100)^{x+3}

=(0.49)^4×(0.343)^4÷(0.2401)^4

(0.7)^{x+3}

=( (0.7)^2)^4×( (0.7)^3)^4÷( (0.7)^4)^4

(0.7)^{x+3}=(0.7)^8×(0.7)^12÷(0.7)^16

(0.7)^{x+3}={(0.7)^8×(0.7)^12}/(0.7)^16

(0.7)^{x+3}= (0.7)^4

x+3=4

x=4-3=1

⇒ So,

x = 1

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