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Valentin [98]
3 years ago
11

(5/8)^4 Find the value of the power.

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0

Answer:

  • 625/4096

Step-by-step explanation:

<u>Let's simplify the problem.</u>

  • => (5/8)^4
  • => (5/8) (5/8)(5/8)(5/8)
  • => (625/4096)
  • => 625/4096

Hence, the solution to the problem is 625/4096.

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\bf \begin{array}{lcccl} &\stackrel{solution}{gallons}&\stackrel{\textit{\% of }}{antifreeze}&\stackrel{\textit{gallons of }}{antifreeze}\\ \cline{2-4}&\\ \textit{1st brand}&x&0.65&0.65x\\ \textit{2nd brand}&y&0.90&0.9y\\ \cline{2-4}&\\ mixture&40&0.8&32 \end{array}~\hfill \to \begin{cases} x+y&=40\\ \boxed{x}=40-y\\ \cline{1-2} 0.65x+0.9y&=32 \end{cases} \\\\[-0.35em] ~\dotfill

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