2.56 x 10^-2

0.0256

To multiply 2.56 by 10^-2, you can use the rules of scientific notation.

Step 1: Multiply the numerical values:

2.56 x 10^-2 = 2.56 * 10^-2 = 0.0256

Step 2: Multiply the powers of 10:

10^-2 = 1 / 10^2 = 1 / 100 = 0.01

Step 3: Multiply the result from Step 1 by the result from Step 2:

0.0256 * 0.01 = 0.000256

So, 2.56 x 10^-2 is equal to 0.000256.

To understand the value 2.56 x 10^-2, we need to understand scientific notation. Scientific notation is a way to express very large or very small numbers using powers of 10. In this notation, a number is written in the form a x 10^b, where "a" is a number between 1 and 10 (known as the coefficient) and "b" is a positive or negative integer (known as the exponent).

In the given value, 2.56 is the coefficient, and 10^-2 is the exponent. This means that we would move the decimal point of 2.56 two places to the left because of the negative exponent.

To calculate the value, start with the coefficient (2.56) and move the decimal point two places to the left. This gives us 0.0256. Therefore, 2.56 x 10^-2 is equal to 0.0256 in decimal notation.