Respuesta :

Noah11012
First, solve the exponent part because it has a higher precedence than multiplication. And we have a negative exponent. Which means we takes the reciprocal of 4 then take to the power of 4.

4^-4 = 1/4^4 = 1/256

Now do the multiplication part.

16 * 1/256 = 1/16

The value of the expression 16 × 4⁻⁴ will be 0.0625.3.

What is simplification?

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ 16 × 4⁻⁴

We know that a⁻ⁿ = 1/aⁿ. Then the expression will be

⇒ 16 / 4⁴

We know that aⁿ = (a × a × a × ... × a) where a is n times. Then the expression will be

⇒ 16 / (4 × 4 × 4 × 4)

⇒ 16 / 256

⇒ 1 / 16

⇒ 0.0625

Then the value of the expression 16 × 4⁻⁴ will be 0.0625.3.

More about the simplification link is given below.

https://brainly.com/question/12616840

#SPJ2

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