Math Problem Statement

Solve the following mathematical expressions involving exponentiation and simplification.

Solution

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The image contains several expressions under the title "Izračunati" (meaning "Calculate" in Serbian). Here are the questions I see, roughly translated and extracted:

  1. 0.51+0.252+0.1253+0.062540.5^{-1} + 0.25^{-2} + 0.125^{-3} + 0.0625^{-4}
  2. 112+23+34+(1)1+(2)2+(3)31 - 1^{-2} + 2^{-3} + 3^{-4} + (-1)^{-1} + (-2)^{-2} + (-3)^{-3}
  3. 0.252+1.753+2.752+1.2530.25^{-2} + 1.75^{-3} + 2.75^{-2} + 1.25^{-3}
  4. 0.12(0.40)10.1^{-2} - (0.40)^{-1}

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Math Problem Analysis

Mathematical Concepts

Exponentiation
Simplification
Negative Exponents

Formulas

a^(-n) = 1 / a^n
Sum and subtraction of exponents
Multiplication and division of powers

Theorems

Exponent Laws
Negative Exponent Theorem

Suitable Grade Level

Grades 9-12