Question

please solve this question i will thank you​

Answer 1

Answer:

0.64

Step-by-step explanation:

(1 61/64)-⅔ = ( 1\frac{61}{64}) ^{-2/3}(1

64

61

)

−2/3

1\frac{61}{64} = \frac{64 \times 1 + 61}{64} = \frac{125}{64}1

64

61

=

64

64×1+61

=

64

125

125/64 = 5³/4³ = (5/4)³

=> ( 1\frac{61}{64}) ^{-2/3}(1

64

61

)

−2/3

= ((5/4)^3)^{\frac{-2}{3}}((5/4)

3

)

3

−2

= (5/4)⁻²

= (4/5)²

= 4²/5²

= 16/25

= 16 * 4 / 25 * 4

= 64/100

= 0.64

( 1\frac{61}{64}) ^{-2/3}(1

64

61

)

−2/3

= 0.64

Answer 2

Answer:

0.64

Step-by-step explanation:

(1 x 64 + 61)$^{-2/3}$

(125/64)$^{-2/3}$          [Converting Mixed Fraction to Improper]

($5^{3}$/$4^{3}$)$^{-2/3}$         [ $(a^{m})^{n} = a^{mn}$]  and  $[a^{m}/b^{m} = (ab)^{m}]$          $[5^{3} = 125 and 4^{3} = 64]$

$(5/4 )^{-2}$                      [As 3 and 3 will get cancelled]

$(4/5)^{2}$                        [Making power positive]

= 16/25

= 0.64