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Simplify and express each of the followi...

Simplify and express each of the following in exponential form:
`2^(0)xx3^(0)xx4^0`

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The correct Answer is:
To simplify the expression \(2^{0} \times 3^{0} \times 4^{0}\) and express it in exponential form, follow these steps: ### Step 1: Understand the property of exponents Recall that any non-zero number raised to the power of 0 is equal to 1. This means: \[ a^{0} = 1 \quad \text{for any } a \neq 0 \] ### Step 2: Apply the property to each term Now, apply this property to each term in the expression: - \(2^{0} = 1\) - \(3^{0} = 1\) - \(4^{0} = 1\) ### Step 3: Substitute the values back into the expression Substituting these values back into the expression, we have: \[ 2^{0} \times 3^{0} \times 4^{0} = 1 \times 1 \times 1 \] ### Step 4: Simplify the expression Now, simplify the multiplication: \[ 1 \times 1 \times 1 = 1 \] ### Step 5: Express in exponential form Since we need to express the result in exponential form, we can write: \[ 1 = a^{0} \quad \text{where } a \text{ is any natural number} \] For example, we can choose \(a = 1\), so: \[ 1 = 1^{0} \] ### Final Answer Thus, the simplified expression is: \[ 1^{0} \] ---
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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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