Question

Jermy was taking a non- calculator quiz in his algebra 1 class. he decided that the expression (2^-1 + 5^0) had a value of 1 1/2. jemrey has the correct value. explain how he found this without the use of a calculator.

Answer 1

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Question:
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2⁻¹ + 5° 

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Given that a° = 1
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2⁻¹ + 5°  = 2⁻¹ + 1

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$\text {Given that } a^{-n} = \frac{1}{a^n}$
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$2^{-1} + 1 = \dfrac{1}{2} + 1$

$2^{-1} + 1 = 1\dfrac{1}{2}$