Madhya Pradesh Police Exam Model Paper 10

Question : 83 of 100

Marks: +1, -0

The value of

(256)^{0.16} x (16)^{0.18}

is:

Solution:

Given:

(256)^{0.16} x (16)^{0.18}

Concept used:

a^m × a^n = a^{m + n}

Calculation:

(256)^{0.16} ×(16)^{0.18}

⇒ {(2)^8}^{0.16} × {(2)^4}^{0.18}

⇒ (2)^{1.28} + (2)^{0.72}

⇒ (2)^{1.28 + 0.72}

⇒ 22

⇒ 4

∴ The value is 4.

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