Question

2.3x10^4 x 1.5x10^-2 in standard form

Answer 1

To find the product of 2.3x10^4 and 1.5x10^-2, multiply the coefficients and add the exponents, resulting in 3.45x10^2 in standard form.

Step-by-step explanation:

To calculate 2.3x10^4 x 1.5x10^-2 in standard form, you use the laws of exponents for multiplication. Multiply the numerical coefficients (2.3 and 1.5) and then add the exponents (4 and -2) when multiplying powers of 10.

Step 1: Multiply the coefficients: 2.3 x 1.5 = 3.45

Step 2: Add the exponents: 10^4 x 10^-2 = 10^(4 + (-2)) = 10^2

Step 3: Combine the results: 3.45 x 10^2

Therefore, the product in standard form is 3.45 x 10^2.