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aleytkyraylydencer
aleytkyraylydencer aleytkyraylydencer
  • 16-06-2016
  • Mathematics
Answered

Rewrite the rational exponent as a radical by extending the properties of integer exponents. 2 to the 7 over 8 power, all over 2 to the 1 over 4 power

Verified Answer :

mathmate
mathmate mathmate
  • 20-06-2016

Recall the quotient rule of exponents:  x^a/x^b  =  x^(a-b)

So
2^(7/8) / 2^(1/4)
=2^(7/8-1/4)
=2^((7-2)/8)
=2^(5/8)
=8 radical 2^5
=8 radical (32)

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