Please evaluate this expression with the answer in scientific notation.
(2.5*10^-2)^4
I certainly would appreciate help.Thank you.
2.5^4 * (10^-2)^4 = 39.0625 * 10^-8 = 3.90625 * 10^-7
Sure, I'd be happy to help! Let's evaluate that expression step by step.
(2.5 * 10^-2)^4
Now, let's simplify the exponent first:
(2.5^4) * (10^-2)^4
Simplifying further:
(2.5^4) * (10^(-2 * 4))
(2.5^4) * (10^-8)
Now, let's calculate the values:
(2.5^4) ≈ 39.06
(10^-8) ≈ 0.00000001
So, putting it back together in scientific notation:
39.06 * 0.00000001
The final answer in scientific notation is approximately:
3.906 * 10^-7
Hope that brings a smile to your face!
To evaluate the expression (2.5 * 10^-2)^4 and express the answer in scientific notation, we need to perform the calculation and simplify the result.
First, let's calculate the expression:
(2.5 * 10^-2)^4 = 2.5^4 * (10^-2)^4
Next, simplify the exponentiation:
2.5^4 = 2.5 * 2.5 * 2.5 * 2.5 = 39.0625
(10^-2)^4 = 10^(-2*4) = 10^-8 = 0.00000001
Now, multiply the two results together:
39.0625 * 0.00000001 = 0.000000390625
To express the answer in scientific notation, we move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. We count the number of places we moved the decimal point, which becomes the exponent of 10:
0.000000390625 = 3.90625 * 10^-7
Therefore, the expression (2.5 * 10^-2)^4 evaluates to 3.90625 * 10^-7 in scientific notation.
To evaluate the expression (2.5 * 10^-2)^4 and express the answer in scientific notation, you can follow these steps:
Step 1: Simplify the base inside the parentheses. Since 10^-2 can be written as 1/10^2 or 1/100, the expression becomes (2.5 * 1/100)^4.
Step 2: Calculate the simplified base. 2.5 * 1/100 = 2.5/100 = 0.025.
Step 3: Raise the simplified base to the power of 4. 0.025^4 = 0.000025.
Step 4: Convert the result to scientific notation. In order to express 0.000025 in scientific notation, you need to move the decimal point five places to the right. This gives us 2.5 * 10^-5.
Therefore, the expression (2.5 * 10^-2)^4 evaluates to 2.5 * 10^-5 in scientific notation.