Question

it is often necessary to do calculations using scientific perform each of the following calculations. (8.10 × 10⁻⁵)(1.00 × 10⁻⁸) =

Explanation:

Step1: Multiply the coefficients

Multiply the coefficients \(8.10\) and \(1.00\).
\(8.10\times1.00 = 8.10\)

Step2: Add the exponents of 10

For numbers in scientific notation \(a\times10^m\) and \(b\times10^n\), when multiplying, we add the exponents: \(m + n\). Here, \(m=- 5\) and \(n = - 8\), so \(-5+( - 8)=-13\)

Step3: Combine the results

Combine the coefficient and the power of 10. So the result is \(8.10\times10^{-13}\), which can also be written as \(8.1\times10^{-13}\) (since \(8.10 = 8.1\) for significant figures consideration here, but if we keep three significant figures, it's \(8.10\times10^{-13}\))

Answer:

\(8.10\times10^{-13}\) (or \(8.1\times10^{-13}\))