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Evaluate : ((-5)/( 2))^(2)...

Evaluate :
` ((-5)/( 2))^(2) `

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The correct Answer is:
To evaluate the expression \(\left(-\frac{5}{2}\right)^{2}\), follow these steps: ### Step 1: Understand the expression The expression \(\left(-\frac{5}{2}\right)^{2}\) means that we need to multiply \(-\frac{5}{2}\) by itself. ### Step 2: Write the multiplication \[ \left(-\frac{5}{2}\right)^{2} = \left(-\frac{5}{2}\right) \times \left(-\frac{5}{2}\right) \] ### Step 3: Multiply the numerators Multiply the numerators: \[ -5 \times -5 = 25 \] ### Step 4: Multiply the denominators Multiply the denominators: \[ 2 \times 2 = 4 \] ### Step 5: Combine the results Now combine the results from the numerators and denominators: \[ \left(-\frac{5}{2}\right)^{2} = \frac{25}{4} \] ### Final Answer Thus, the final answer is: \[ \frac{25}{4} \] ---
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ICSE-EXPONENTS -EXERCISE 5
  1. Evaluate : (-5) ^(3)

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  2. Evaluate : ((3)/(4)) ^(5)

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  3. Evaluate : ((-5)/( 2))^(2)

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  4. Express each of the following in expontial notation: ((-7)/( 13)) x...

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  5. Express each of the following in expontial notation: ((-8)/(3)) xx ...

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  6. Express each of the following in expontial notation : (343)/( 512...

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  7. Express each of the following in expontial notation : (-32)/( 243...

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  8. Express each of the following in expontial notation : (-1)/( 128...

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  9. Express each of the following in expontial notation : (729)/( 6...

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  10. Express each of the following in exponential notation: ((5)/(21)) ^...

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  11. Express each of the following in exponential notation: ((-7)/(3))^...

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  12. Express each of the following in exponential notation: ((13)/( 43))...

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  13. Express each of the following in exponential notation: ((-16)/( 35...

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  14. Express each of the following in exponential notation: ((-7)/( 15)...

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  15. Express each of the following in exponential notation: ((1)/( 24))^...

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  16. Simplify and express each of the following as a rational number : (...

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  17. Simplify and express each of the following as a rational number : (...

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  18. Simplify and express each of the following as a rational number : (...

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  19. Simplify and express each of the following as a rational number : (...

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  20. Simplify and express each of the following as a rational number : ...

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