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1)

The expression :


\begin{gathered} 2^3\cdot2^5=2^8 \\ \text{Tha base are same so, the exponents are add up} \end{gathered}

1-same Base Product

2)

The expression:


\begin{gathered} (5^5)/(5^2)=5^3 \\ \text{The base are same and they are divison from so the exponents will subtract} \\ \end{gathered}

2- Same base Quotient

3)

The expression:


\begin{gathered} (3^2)^3=3^6 \\ \text{The }power\text{ to pwer will multiply sor 2}*3=6 \end{gathered}

3-Power to power

4)

The expression:


\begin{gathered} 8^0=1 \\ The\text{ zero power is always equal to 1} \end{gathered}

4- Zero power

Answer:

1) same Base Product

2) Same base Quotient

3) Power to power

4) Zero Power

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