Question

calculate.
$(3 \times 10^8)(2 \times 10^6)$
write your answer in scientific notation.

Explanation:

Step1: Multiply the coefficients

Multiply 3 and 2: \( 3 \times 2 = 6 \)

Step2: Add the exponents of 10

For \( 10^8 \) and \( 10^6 \), use the rule \( a^m \times a^n = a^{m + n} \): \( 10^8 \times 10^6 = 10^{8 + 6} = 10^{14} \)

Step3: Combine the results

Multiply the coefficient and the power of 10: \( 6 \times 10^{14} \)

Answer:

\( 6 \times 10^{14} \)