Question

simplify 1. (√4)-¾ 2.(625)-¼

Answer 1

1.
$( \sqrt{4} ) {}^{ - \frac{3}{4} } \\ = (4) {}^{ - \frac{ 3}{4} \times \frac{1}{2} } \\ = (2) {}^{ {}^{ - \frac{ 3}{4} \times \frac{1}{2} \times 2 } } \\ =( 2) {}^{ - \frac{3}{4} } \\ = ( \frac{1}{2} ) {}^{ \frac{3}{4} }$
2.
$(625) {}^{ - {}^{ \frac{1}{4} } } \\ = (5) {}^{4} \times{}^{ - { \frac{1}{4} } } \\ = (5) {}^{ - 1} \\ = \frac{1}{5}$

Answer 2

1. = (4^-3/4)^1/2
    = 4^-3/2
    = (√4)-3
    = 2^-3
    = 1/8
    = 0.125
2. = (5^4)^-1/4
    = 5^-1
    = 1/5
    = 0.2
 Hope this hepls you :)