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OverLord2011 [107]
3 years ago
10

Simplify (2^5/3^2)^4 A. 2^20/3^8 B. 2^9/3^8 C. 8^5/12^2 D. 2/3^2

Mathematics
1 answer:
ryzh [129]3 years ago
5 0

Hey there!

\bold{Simplify: (\frac{2^5}{3^2})^4 }

  • \bold{2^5 = 32}
  • \bold{(\frac{32}{3^2})^4 }
  • \bold{3^2= 9}
  • \bold{(\frac{32}{9})^4 }
  • \bold{\frac{1,048,576}{6,561} }
  • ↑to sum it all up, your \boxed{\boxed{\bold{Answer: A. \frac{2^2^0}{3^8} }}}

Good luck on your assignment and enjoy your day!

~\bf{LoveYourselfFirst:)}


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Any value of x

<em></em>

Step-by-step explanation:

Given

f(x) = \sqrt{x^2 - 1}

g(x) = \sqrt{x^2 + 1}

Required

What value of x is  f(g(x)) = g(f(x))

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Solve the inner square

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f(g(x)) = x

Solving g(f(x))

g(x) = \sqrt{x^2 + 1}

g(f(x)) = \sqrt{(\sqrt{x^2 - 1})^2 + 1}

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Equate f(g(x)) and g(f(x))

f(g(x)) = g(f(x))

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This probability stated as percentage: 1.25%

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