Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

rewrite the expression $12^{0} \\cdot 5^{-2}$ using only positive expon…

Question

rewrite the expression $12^{0} \cdot 5^{-2}$ using only positive exponents. how can you rewrite $12^{0}$? $12^{0} \cdot 5^{-2} = \square \cdot 5^{-2}$

Explanation:

Step1: Recall the zero exponent rule

Any non - zero number raised to the power of 0 is 1. So, for \(12^{0}\), since \(12
eq0\), we have \(12^{0}=1\).

Step2: Substitute the value of \(12^{0}\) into the expression

The original expression is \(12^{0}\cdot5^{-2}\). Substituting \(12^{0} = 1\) into the expression, we get \(1\cdot5^{-2}\).

Answer:

\(1\)