Question

what is $10^3 \times 10^{20}$ ? \
$10^{60}$ \
$10^{23}$ \
$10^{20}$ \
$10^3$ \
rewatch

Explanation:

Step1: Recall exponent rule for multiplication

When multiplying two numbers with the same base, we add the exponents. The formula is \(a^m\times a^n=a^{m + n}\), where \(a = 10\), \(m=3\), and \(n = 20\).

Step2: Apply the rule

For \(10^{3}\times10^{20}\), we add the exponents \(3\) and \(20\). So \(3+20 = 23\), and thus \(10^{3}\times10^{20}=10^{23}\).

Answer:

\(10^{23}\) (corresponding to the option with \(10^{23}\))