I have one more step in my question. I have to Find the value of 10^-2.4 by putting this value in a calculator.
I do not have a calculator to do this, can anyone help me out?
Google has a terrific calculator built right into their search window
just enter 10^-2.4 into the Google search window and press "I feel lucky"
http://www.google.ca/search?hl=en&source=hp&q=10%5E-2.4&btnI=I%27m+Feeling+Lucky&aq=f&aqi=&aql=&oq=&gs_rfai=
Thank you for the information.
Sure, I can help you with that. To find the value of 10^-2.4, you can make use of the exponential function on a scientific calculator. However, since you don't have one, I can walk you through an alternative method using basic arithmetic.
To begin, let's break down the exponent -2.4. The negative sign indicates that we need to find the reciprocal of the number raised to the positive exponent. In this case, we need to find the reciprocal of 10^2.4.
Step 1: Calculate 10^2.4:
To do this, we can estimate using basic arithmetic. Start by multiplying 2.4 by 10:
2.4 * 10 = 24
Next, raise 10 to the power of 0.4 (0.4 is the decimal part of 2.4):
10^0.4 ≈ 2.5119
The result of 10^2.4 is approximately 2.5119.
Step 2: Take the reciprocal of the result:
Since the exponent is negative, taking the reciprocal of the result will give us the desired value.
Reciprocal of 2.5119 = 1/2.5119 = 0.3981 (rounded to four decimal places).
Therefore, by calculating step by step without a calculator, we find that 10^-2.4 is approximately 0.3981.