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If x=((2)/(3))^(4)div((2)/(3))^2, find t...

If `x=((2)/(3))^(4)div((2)/(3))^2`, find the value of `x^5`.

A

`((2)/(3))^(11)`

B

`((2)/(3))^(10)`

C

`((2)/(3))^(7)`

D

`1`

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The correct Answer is:
B
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MTG IIT JEE FOUNDATION-EXPONENTS AND POWERS-EXERCISE (MULTIPLE CHOICE QUESTION) (LEVEL -I)
  1. Number of prime factors is (6^(12)xx(35)^(28)xx(15)^(16))/((14)^(14)xx...

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  2. If 5^((x+3))=25^((3x-4)), then the value of x is 5/(11) b. (11)/5 c. (...

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  3. If 2^(n-1)+2^(n+1)=3, then n is equal to 0 b. 2 c. -2 d. -1

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  4. If 3^(x)-3^(x-1)=18, then the value of x^x is

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  5. By what number should ((2)/(3))^3 be divided so that the quotient is (...

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  6. By what number should ((3)/(5))^2 be multiplied so that the product i...

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  7. Find the value of x so that 5^(2x)xx5^(3)=5^6.

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  8. Find the value of x, if (2^(x-1)*4^(2x+1))/(8^(x-1))=64.

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  9. If 800xx(x^3)^(2)=8xx10^8, then x=

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  10. Express 32xx10000000 in standard form.

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  11. Usual form of -4.8xx10^8 is

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  12. Simplify : 7^(16)xx7^(5)xx((1)/(7))^(11)

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  13. If [5^(9)xx5^(3)]div[5^(15)div5^(3)]=5^m, then find the value of m.

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  14. If (x)/(y)=((2)/(3))^(3)div((3)/(2))^2, then the value of ((x)/(y))^3 ...

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  15. Find the value of [{((-3)/(8))^2}^0]^(7).

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  16. Find the value of (3^(0)xx4^(0)+2^(0)xx3^0)/(16^0).

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  17. Find 'a' such that ((6)/(7))^(a)xx((6)/(7))^(3a)=(1296)/(2401).

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  18. Find the value of t, if (9^(0)xx5^(0)xx7^0)/((-1)^(23)xx(-1)^5)=7^t.

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  19. If x=((2)/(3))^(4)div((2)/(3))^2, find the value of x^5.

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  20. What is the value of x, if 64xx(512)^(2)=x^8?

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