Question

Choose the four expressions that are equivalent to 6-2?

1) clear check 136
2) (6-4)2
3) 162
4) (16)2
5) 61��6-2
6) 6365

Answer 1

None of the provided options (1) 136, (2) (6-4)^2, (3) 16^2, (4) (16)^2, (5) 61×6-2, (6) 6^3Ö5 are equivalent to the expression 6-2, interpreted as 6 raised to the power of -2, which is 1/36.

Step-by-step explanation:

The question asks which four expressions are equivalent to the expression 6-2. Here, we interpret '6-2' as 6 raised to the power of -2, which is equal to 1 divided by 6 squared, or 1/36. Now let's examine each option:

• 1) 136 is not equivalent, it's just a number.
• 2) (6-4)^2 is 2^2, which is 4, not equivalent.
• 3) 16^2 is 256, which is not equivalent.
• 4) (16)^2 is also 256, not equivalent.
• 5) 61×6-2 could be read as 61 times 6 raised to the power of -2, which simplifies to 61/36 and is not equivalent.
• 6) 6^3Ö5 could be read as 6 cubed times 5, which would be 216*5, and not equivalent.

Based on the provided options, none is equivalent to 6 raised to the power of -2, or 1/36. There may have been a misunderstanding in the question or the expression was not provided correctly. It's important to eliminate terms wherever possible to simplify the algebra and check the answer to see if it is reasonable as part of proper math practice.