Question

multiply. write your answer in scientific notati
(3.7 × 10⁻³)(2.3 × 10⁴)

Explanation:

Step1: Multiply the coefficients

Multiply \( 3.7 \) and \( 2.3 \). So, \( 3.7\times2.3 = 8.51 \).

Step2: Multiply the powers of 10

Use the rule \( a^m\times a^n=a^{m + n} \). For \( 10^{-3}\times10^{4} \), we have \( 10^{-3 + 4}=10^{1} \).

Step3: Combine the results

Combine the coefficient and the power of 10. So, \( 8.51\times10^{1} \).

Answer:

\( 8.51\times 10^{1} \)