Question

Evaluate this exponential expression. (0.125) 0.0025 0.25 0.025?

1) 0.125
2) 0.0025
3) 0.25
4) 0.025

Answer 1

The evaluated exponential expression is 0.0025.

Step-by-step explanation:

To evaluate the given exponential expression (0.125)^0.0025, we can rewrite it as the square root of 0.125 raised to the power of 0.0025. First, find the square root of 0.125, which is approximately 0.3536. Next, raise this result to the power of 0.0025. The value is approximately 0.9986.

So, the final answer is 0.9986, or 0.0025 when rounded. The original expression involves taking a small power of the square root of 0.125, resulting in a value close to 1 but slightly less. This outcome is expected due to the small exponent, indicating a fraction of the square root is being calculated.

Answer 2

The question is about evaluating exponential expressions, particularly focusing on handling negative exponents. To do so, one must move the decimal point to the left for negative exponents and to the right for positive exponents, which is practiced through additional exercises involving scientific notation and cubing exponentials. So, the best answer is 5, none of them

Step-by-step explanation:

The student is asking how to evaluate an exponential expression.

This can be difficult when working with negative exponents, as they indicate the number of times the decimal must be moved to the left.

For instance, 2.4 x 10-2 would mean moving the decimal point two places to the left, giving 0.024. Let's practice this concept with some additional exercises:

Evaluate 0.00000000552 × 0.0000000006188 and express the answer in scientific notation: Here, we first convert each number to scientific notation.We have 5.52 × 10-9 and 6.188 × 10-10. When multiplied, we get 5.52 x 6.188 × 10-9+(-10) = 34.15536 × 10-19. We can then adjust this to be in correct scientific notation: 3.415536 × 10-18.Cubing of exponentials: When you cube an exponential number, you cube the base number and multiply the exponent by 3. For example, if you have (2 x 102)3, you would do 23 × 102x3 = 8 × 106.Calculating without entering scientific notation: To evaluate an expression like (4.506 × 104) × (1.003 × 102) without a calculator, multiply the base numbers (4.506 × 1.003) and add the exponents (4 + 2): 4.514518 × 106.This usually requires further adjustment to put it into standard scientific notation form.

So, the best answer is 5, none of them

Q: Evaluate this exponential expression.

1) 0.125

2) 0.0025

3) 0.25

4) 0.025

5) none of them