# Chapter 4 - Polynomials - 4.2 Negative Exponents and Scientific Notations - 4.2 Exercise Set: 132

$13$

#### Work Step by Step

The given expression, $(13^{-12})^2\cdot13^{25}$, simplifies to \begin{array}{l} 13^{-12(2)}\cdot13^{25} \\\\= 13^{-24}\cdot13^{25} \\\\= 13^{-24+25} \\\\= 13^{1} \\\\= 13 .\end{array}

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