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Evaluate the following: 5^−1 × 3^0 + 25^(1/2) - Mathematics

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Question

Evaluate the following:

`5^-1 xx 3^0 + 25^(1/2)`

Evaluate
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Solution

Given: `5^-1 xx 3^0 + 25^(1/2)`

Step-wise calculation:

1. Evaluate each part:

`5^-1 = 1/5`

30 = 1   ...(Any non-zero number raised to 0 is 1)

`25^(1/2) = sqrt(25)`

`25^(1/2) = 5`

2. Substitute the values back:

`1/5 xx 1 + 5`

3. Multiply and add:

`1/5 + 5 = 1/5 + 25/5`

`1/5 + 5 = (1 + 25)/5`

`1/5 + 5 = 26/5`

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Chapter 6: Indices/Exponents - Exercise 6B [Page 131]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 6 Indices/Exponents
Exercise 6B | Q 2. (iii) | Page 131
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