Answer: Option C
When a number is raised to a power, it is multiplied by itself a certain number of times. For example, 5 raised to the power of 3 (written as 5^3) means 5 multiplied by itself three times: 5 x 5 x 5 = 125.
To calculate (16)^1.75, we can use the following formula:
a^b = c
where a is the base number, b is the exponent, and c is the result.
Using this formula, we can write:
16^1.75 = c
We can also write 1.75 as a fraction: 7/4. This gives us:
16^(7/4) = c
To evaluate this expression, we can take the fourth root of 16 (which is 2) and raise it to the power of 7:
16^(1/4) = 2
2^7 = 128
Therefore, (16)^1.75 = 128, which corresponds to option C.
In summary, we used the formula a^b = c to calculate the value of (16)^1.75. We converted 1.75 to a fraction and used the properties of exponents to simplify the expression. Finally, we evaluated the expression to get the result of 128.