Question

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

Answer 1

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)