Question

question
which expression is equivalent to $5^0 \cdot 5^3$?
answer
\bigcirc 0 \qquad \bigcirc 1
\bigcirc 5^3 \qquad \bigcirc \frac{1}{5^3}

Explanation:

Step1: Recall the zero - exponent rule

The zero - exponent rule states that for any non - zero number \(a\), \(a^{0}=1\). So, for \(a = 5\), we have \(5^{0}=1\).

Step2: Simplify the expression \(5^{0}\cdot5^{3}\)

Substitute \(5^{0}=1\) into the expression \(5^{0}\cdot5^{3}\), we get \(1\times5^{3}=5^{3}\).

Answer:

\(5^{3}\) (the option with the text \(5^{3}\))