Simplify: (0.0081)^{0.14}\times (0.0081)^{0.11}

Delhi Police Constable Exam Model Paper 1

Question : 82 of 100

Marks: +1, -0

Simplify:

(0.0081)^{0.14}× (0.0081)^{0.11}

Solution:

(0.0081)^{0.14}× (0.0081)^{0.11}

= (0.0081)^_{0.14 + 0.11}

= (81 × 10^{-4})^{0.25}

= (3^4× 10^{-4})^{25/100}

= (3^ 4× 10^{-4})^{1/4}

= 3 × 10^{-1}= 0.3

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