Question

question 4
what is the result of $(3 \times 10^4) \times (2 \times 10^3)$?
$6 \times 10^2$
$9 \times 10^5$
$6 \times 10^7$
$5 \times 10^2$

Explanation:

Step1: Multiply the coefficients

Multiply the coefficients \(3\) and \(2\). So, \(3\times2 = 6\).

Step2: Multiply the powers of 10

Using the rule of exponents \(a^m\times a^n=a^{m + n}\), for \(10^4\times10^3\), we have \(10^{4+3}=10^7\).

Step3: Combine the results

Combine the coefficient and the power of 10. So, \((3\times 10^4)\times(2\times 10^3)=6\times 10^7\).

Answer:

\(6\times 10^7\) (corresponding to the option "6 × 10⁷")