Question

simplifica la expresión:
$5^2\cdot5^1=$
options: $5^3$, $5^{3 + 1}$, $5^2$

Explanation:

Step1: Recall exponent rule for multiplication

When multiplying two exponents with the same base \(a^m \cdot a^n=a^{m + n}\), here \(a = 5\), \(m=2\), \(n = 1\).
So \(5^{2}\cdot5^{1}=5^{2 + 1}\)

Step2: Calculate the exponent

Calculate \(2+1 = 3\), so \(5^{2+1}=5^{3}\)

Answer:

\(5^{3}\) (or if we calculate the value, \(5^{3}=125\), but based on the options, \(5^{3}\) is the simplified form)