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Using laws of exponents, simplify and wr...

Using laws of exponents, simplify and write the answer in exponential form:
`a^(4)xxb^4`

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The correct Answer is:
To simplify the expression \( a^4 \times b^4 \) using the laws of exponents, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Expression**: We start with the expression \( a^4 \times b^4 \). 2. **Recognize the Law of Exponents**: According to the laws of exponents, when we multiply two terms with the same exponent but different bases, we can combine them. Specifically, the rule states that \( m^n \times p^n = (m \times p)^n \). 3. **Apply the Law**: In our case, we have: \[ a^4 \times b^4 = (a \times b)^4 \] 4. **Write in Exponential Form**: Thus, we can write the simplified expression as: \[ (a \times b)^4 \] ### Final Answer: The simplified form of \( a^4 \times b^4 \) is \( (a \times b)^4 \). ---
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MTG IIT JEE FOUNDATION-EXPONENTS AND POWERS-NCERT SECTION (EXERCISE 12.2)
  1. Using laws of exponents, simplify and write the answer in exponential ...

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  2. Using laws of exponents, simplify and write the answer in exponential ...

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  3. Using laws of exponents, simplify and write the answer in exponential ...

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  4. Using laws of exponents, simplify and write the answer in exponential ...

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  5. Using laws of exponents, simplify and write the answer in exponential ...

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  6. Using laws of exponents, simplify and write the answer in exponential ...

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

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  8. Simplify and express each of the following in exponential form: [(5...

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  9. Simplify and express each of the following in exponential form: 25^...

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  10. Simplify and express each of the following in exponential form: (3x...

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

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

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

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

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

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

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

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

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

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

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