Question

find the value of 16 ^ 0.16 into 16 ^ 0.09​

Answer 1

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Answer 2

Concept:

Exponent power rule, that means when we multiply the same bases then their powers are added, i.e. a²×a³=a⁵

Given:

16^0.16 into 16^0.09​

Find:

We are asked to find the value of the given exponent.

Solution:

We have,

16^0.16 into 16^0.09​

Now, we will rewrite it,

(16^0.16) × (16^0.09​)

Using the above-mentioned rule of exponent rule,

i.e.  a²×a³=a⁵

So,

(16^0.16) × (16^0.09​)

⇒ 16^(0.16+0.09)

We get,

16^(0.25)

Now, converting decimal power into fraction,

16^(25/100)

Now, simplify the power to the simplest form by dividing the numerator and denominator by 25,

We get,

16^(1/4)

⇒ 2

Hence we can say that the value of 16^0.16 into 16^0.09​ is 2.

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