Question

Solve this ,step by step​

Answer 1

Answer:

269/80

Step-by-step explanation:

1)    (64/125)⁻²/₃ = (125/64)²/₃ = ∛(125/64)² = (5/4)² = 25/16  

2)    $\sqrt[4]{256/625}$ = 4/5

3)    (3/7)⁰ = 1

after adding we get, 25/16 + 4/5 + 1 = 269/80

Answer 2

Hey mate here goes your answer:-

$({ \frac{64}{125} })^{ \frac{ - 2}{3} } + ({ \frac{256}{625} })^{ \frac{1}{4} } + ( { \frac{3}{7} })^{0}$

⟹$( { \frac{4}{5} })^{3\times \frac{ - 2}{3} } + { \frac{4}{5} }^{4 \times \frac{1}{4} } + 1$

⟹$({ \frac{4}{5} })^{ - 2} + \frac{4}{5} + 1$

⟹$({ \frac{5}{4} })^{2} + \frac{4}{5} + 1$

⟹$\frac{25}{16} + \frac{4}{5} + 1$

⟹$\frac{(125 + 64 + 80)}{80}$

⟹$\frac{269}{80}$

⟹$3 \frac{29}{80}$

Hence your required answer is this..

STEP BY STEP EXPLANATION:

1》First by seeing the powers you have to rearrange the whole expression.

2》Always remember that something to the power 0 is always 1.

3》When there is a negative power then just reverse the term.

4》Never keep the answer in fraction

5》Always convert it into mixed fraction.

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