Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

simplify. express your answer as a single term, without s^0tcdot s^0t^0

Question

simplify. express your answer as a single term, without
s^0tcdot s^0t^0

Explanation:

Step1: Apply zero - exponent rule

Recall the zero - exponent rule: For any non - zero number \(a\), \(a^{0}=1\). So, \(s^{0} = 1\) (assuming \(s
eq0\)) and \(t^{0}=1\) (assuming \(t
eq0\)).
The expression \(s^{0}t\cdot s^{0}t^{0}\) can be rewritten by substituting the values from the zero - exponent rule.
\(s^{0}t\cdot s^{0}t^{0}=(1\times t)\cdot(1\times1)\)

Step2: Multiply the terms

Multiply the coefficients (the numbers) and the variables separately. The coefficients here are \(1\) (from \(s^{0}\)) and \(1\) (from \(s^{0}\)) and \(1\) (from \(t^{0}\)), and the variable term is \(t\).
\((1\times t)\cdot(1\times1)=1\times1\times t\times1=t\)

Answer:

\(t\)