Question

`1/2` of 4¹⁶ = ______.

Options

• 2³¹

• 2³²

• 4⁸

• 4¹⁵

Answer 1

`1/2` of 4¹⁶ = 2³¹.

Explanation:

We are given the expression:

`1/2 xx 4^16`

Step 1: Rewrite 4¹⁶ as a power of 2

Since 4 = 2², we can rewrite 4¹⁶ as:

4¹⁶ = (2²)¹⁶ = 2³²

Step 2: Substitute and simplify

Now, substitute 4¹⁶ with 2³²:

`1/2 xx 2^32`

Step 3: Simplify the expression

We know that `1/2 = 2^-1`, so the expression becomes:

⇒ `2^-1 xx 2^32` 

= `2^(32 - 1)`

= 2³¹

Thus, the value of the expression is 2³¹