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Simplify and express each of the followi...

Simplify and express each of the following in exponential form:
`(3^(0)+2^0)xx5^0`

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The correct Answer is:
To simplify the expression `(3^(0) + 2^0) × 5^0` and express it in exponential form, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the values of the powers**: - Recall that any non-zero number raised to the power of 0 is equal to 1. Therefore: - \(3^0 = 1\) - \(2^0 = 1\) - \(5^0 = 1\) 2. **Substitute the values into the expression**: - Now we can substitute these values back into the expression: \[ (3^0 + 2^0) \times 5^0 = (1 + 1) \times 1 \] 3. **Simplify the expression inside the parentheses**: - Calculate \(1 + 1\): \[ 1 + 1 = 2 \] - So now our expression becomes: \[ 2 \times 1 \] 4. **Multiply the result**: - Now, multiply \(2\) by \(1\): \[ 2 \times 1 = 2 \] 5. **Express in exponential form**: - Finally, we can express \(2\) in exponential form: \[ 2 = 2^1 \] ### Final Answer: Thus, the simplified expression in exponential form is: \[ 2^1 \]
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MTG IIT JEE FOUNDATION-EXPONENTS AND POWERS-NCERT SECTION (EXERCISE 12.2)
  1. Simplify and express each of the following in exponential form: (3x...

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  2. Simplify and express each of the following in exponential form: (3^...

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  3. Simplify and express each of the following in exponential form: 2^(...

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  4. Simplify and express each of the following in exponential form: 2^(...

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  5. Simplify and express each of the following in exponential form: (3^...

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  6. Simplify and express each of the following in exponential form: (2^...

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  7. Simplify and express each of the following in exponential form: ((a...

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  8. Simplify and express each of the following in exponential form: (4^...

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  9. Simplify and express each of the following in exponential form: (2^...

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  10. Say true or false and justify your answer: 10xx10^(11)=100^(11)

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  11. Say true or false and justify your answer: 2^(3) gt 5^2

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  12. Say true or false and justify your answer: 2^(3)xx3^(2)=6^5

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  13. Say true or false and justify your answer: 3^(0)=(1000)^0

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  14. Express each of the following as a product of prime factors only in ex...

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  15. Express each of the following as a product of prime factors only in ex...

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  16. Express each of the following as a product of prime factors only in ex...

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  17. Express each of the following as a product of prime factors only in ex...

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  18. Simplify: ((2^5)^(2)xx7^3)/(8^(3)xx7)

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  19. Simplify: (i) <img class="eeimg trnoresize" alt="\frac{{{{\left( {{...

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  20. (3^5xx10^5xx25)/(5^7xx6^5)

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