Answer:
Step-by-step explanation:
The applicable rule of exponents is ...
a^(-b) = 1/(a^b)
Of course, an exponent is used to signify repeated multiplication.
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3^(-2) = 1/3^2 = 1/(3·3) = 1/9
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4^(-3) = 1/4^3 = 1/(4·4·4) = 1/64
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2^6 = 2·2·2·2·2·2 = 64
Applying fraction concepts, the exact values are:
[tex]3^{-2} = \frac{1}{9}[/tex]
[tex]4^{-3} = \frac{1}{64}[/tex]
[tex]2^{-6} = \frac{1}{64}[/tex]
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When a value has a negative exponent, it can be represented by a fraction, in the following format:
[tex]a^{-b} = \frac{1}{a^b}[/tex]
Thus, we apply this transformation for each of the expression given, to find their exact fractions:
[tex]3^{-2} = \frac{1}{3^2} = \frac{1}{9}[/tex]
[tex]4^{-3} = \frac{1}{4^3} = \frac{1}{64}[/tex]
[tex]2^{-6} = \frac{1}{2^6} = \frac{1}{64}[/tex]
A similar problem is given at https://brainly.com/question/18581013
