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Equivalent forms of exponential expressions

Determine whether each expression is equivalent to 10t2+2t−310^{\large t^2+2t-3}.
 
Equivalent
Not Equivalent
(10t+3)t−1(10^{t+3})^{t-1}
10t2+2t1000\dfrac{10^{t^2+2t}}{1000}
10t2⋅102t103\dfrac{10^{t^2}\cdot 10^{2t}}{10^3}