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A teacher asked the students to write 3^...

A teacher asked the students to write `3^(5)xx6^2`, but they wrote 3562. what is the numerical difference between the two ?

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The correct Answer is:
`= 5186`
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MTG IIT JEE FOUNDATION-EXPONENTS AND POWERS-SOLVED EXAMPLES
  1. Express each of the following numbers as a product of powers of their ...

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  2. Express each of the following as product of powers of their prime f...

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  3. Express each of the following as product of powers of their prime f...

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  4. Exprtess the following as the power of a rational number. (16)/(81)

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  5. Express the following as the power of a rational number. (-32)/(3125...

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  6. Find the product of cube of ((-3)/(5)) and fourth power of (2)/(-3).

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  7. Find the value of 'a' if [(-3)^3]^(5) =(-3)^(3a).

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  8. Find the value of p, if 5^(2p+1)div25=125.

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  9. Find the value of p in the following: ((15)/(9))^(3) div ((5)/(9))^(...

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  10. Find the value of p in the following: ((4)/(3))^(3) div ((-4)/(3))^...

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  11. Simplify : ((-1/2)^8)/((-1/2)^5)-((-1/2)^5)/((-1/2)^3)

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  12. Simplify : [(125)/(27)xx((9)/(25))^3]div((3)/(5))^2

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  13. Express 6.022xx10^3 as a whole number.

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  14. Following are the distances between: sun and saturn - 1433500000000 ...

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  15. A teacher asked the students to write 3^(5)xx6^2, but they wrote 3562....

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  16. If a=2 and b=3, then find the value of [(1)/(a^b)+(1)/(b^a)].

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  17. If 9^(3)xx 27^(2)xx 81^(2) is equal to 3^(2k), then find k.

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  18. If (52)/(x)=(169)/(144), find the value of x.

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  19. Evaluate : (625)/(11)xx(14)/(25)xx(11)/(196)

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