Question

simplify answer for this question
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Answer 1

Answer:

2

Step-by-step explanation:

=16^0.16×16^0.09

=16^0.16+0.09 (∵a^m×a^n=a^m+n)

=16^0.25

=16^1/4

=(16^1/2)^1/2

=4^1/2

=2

Answer 2

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$\sf{(16)^{0.16}\times (16)^{0.09}}$

$\sf{=16^{(0.16+0.09)}}$

◘ When same bases with different powers are multiplied, then the powers are added. (xᵃ × xᵇ = xᵃ⁺ᵇ)

$\displaystyle{\sf{=16^{(\frac{16}{100}+\frac{9}{100} ) }}}$

$\sf{=16^{\frac{25}{100} }}$

$\sf{=16^\frac{1}{4} }$

$\sf{=\sqrt[4]{16} }$

$\sf{=\sqrt[4]{(2)^4} }$

$\sf{=2}$

Hence, the answer is 2.

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