Question

(0.00000625)to the power -3/4 simplify exponents and power

Answer 1

$(0.00000625)^{ \frac{ - 3}{4} } \\ =( (0.00000625)^{ \frac{1}{4} }) ^{ - 3} \\ =( (0.25 \times 0.25 \times 0.25 \times 0.25)^{ \frac{1}{4} }) ^{ - 3} \\ = (0.25 )^{ - 3}$
$= (\frac{1}{0.25} )^{3} \\ = {4}^{3} \\ = 64$