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

Sagot :

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

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

[tex](\frac{25}{64})^{\frac{1}{2}}[/tex] 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]

[tex]\frac{(\sqrt{25})^{1} }{(\sqrt{64})^{1} }[/tex] This fraction then becomes:

[tex]\frac{5}{8}[/tex]

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