alilaawk
alilaawk alilaawk
  • 23-10-2021
  • Mathematics
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PLS HELP DUE IN 1 HOUR

write the expression using positive exponents
1/3^-5

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jimthompson5910 jimthompson5910
  • 23-10-2021

Answer:   3^5

Explanation:

The rule used is [tex]\left(\frac{a}{b}\right)^{-c} = \left(\frac{b}{a}\right)^{c}[/tex]

That rule says to go from a negative exponent to a positive exponent, we apply the reciprocal of the fraction.

So,

[tex]\left(\frac{1}{3}\right)^{-5} = \left(\frac{3}{1}\right)^{5} = 3^5[/tex]

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