Question

name:

1. what is \\((3.4 \times 10^{10})(4.8 \times 10^{5})\\) in scientific notation? (1 pt)

Explanation:

Step1: Multiply the coefficients

Multiply \( 3.4 \) and \( 4.8 \).
\( 3.4\times4.8 = 16.32 \)

Step2: Add the exponents of 10

Use the rule \( 10^a\times10^b = 10^{a + b} \). Here, \( a = 10 \) and \( b = 5 \), so \( 10^{10}\times10^{5}=10^{10 + 5}=10^{15} \)

Step3: Combine and adjust to scientific notation

We have \( 16.32\times10^{15} \). But in scientific notation, the coefficient must be between 1 and 10. So we rewrite \( 16.32 \) as \( 1.632\times10^{1} \). Then multiply by \( 10^{15} \): \( 1.632\times10^{1}\times10^{15}=1.632\times10^{1 + 15}=1.632\times10^{16} \)

Answer:

\( 1.632\times10^{16} \)