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Mathematics
Algebra
Exponents and Properties of Exponents
Which of the following is an equivalent expression to 11−^13⋅11−^7%0D%0A11%0D%0A−%0D%0A13%0D%0A⋅%0D%0A11%0D%0A−%0D%0A7%0D%0A with only positive exponents, generated by applying the properties of exponents?
1 answer
Equivalent expression with positive exponents: $\dfrac{11^{13}\cdot 11^7}{11^{13}\cdot 11^{-7}}=\dfrac{11^{13 + 7}}{11^{13 - 7}}=\boxed{11^{20}}$.
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