Question

Find the value of (64/25)^-1/2 Give your answer as fraction in its simplest form.​

Answer 1

Answer:

$\frac{5}{8}$

Step-by-step explanation:

$(\frac{64}{25})^{-\frac{1}{2} }$ has a negative, fractional indice; this negative sign in this context means to make the base fraction a reciprocal (flip it!):

$(\frac{25}{64})^{\frac{1}{2}}$ The denominator is the value by which we should root, then the numerator is the power the fraction should be raised to: [root and then raise]

$\frac{(\sqrt{25})^{1} }{(\sqrt{64})^{1} }$ This fraction then becomes:

$\frac{5}{8}$