To determine the correct way to write 46 (interpreted as forty-six) in standard form, let's carefully analyze each provided choice.
1. Choice 1: 6 [tex]$6^ 6^ 6$[/tex]
- This expression is not clear and does not follow standard mathematical notation. It seems to be attempting some irregular format involving multiplication and exponents.
2. Choice 2: 4096
- This is a numerical value. We need to understand whether it represents forty-six in some mathematically meaningful way.
3. Choice 3: 4 6
- This represents the product of 4 and 6. Calculating this, we get:
[tex]\[ 4 \times 6 = 24 \][/tex]
- So, this is not forty-six.
4. Choice 4: [tex]$4 4 4 4 4 4$[/tex]
- This represents the product of six 4’s multiplied together. In mathematical notation, this can be written as:
[tex]\[ 4^6 \][/tex]
- Calculating [tex]$4^6$[/tex] (4 raised to the power of 6) gives:
[tex]\[ 4^6 = 4 \times 4 \times 4 \times 4 \times 4 \times 4 = 4096 \][/tex]
- Comparing this result with Choice 2, we see that [tex]\(4^6 = 4096\)[/tex], confirming that this computation is indeed correct.
To conclude:
- The correct way to write 46 in this context (interpreted based on the numerical computations) must match [tex]\(4^6\)[/tex].
- Hence, the correct choice is Choice 4: [tex]$4 4 4 4 4 4$[/tex].
So, the answer is 4.
