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State the product law of exponents....

State the product law of exponents.

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The product law of exponents is:
`rArrx^mxxx^n=x^(m+n)`
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Simplify the following using law of exponents. (3^2)×(3^2)^4 .

RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
  1. If x=a^(m+n),\ y=a^(n+l) and z=a^(l+m) , prove that x^m y^n z^l=x^n y^...

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  2. Write (625)^(-1/4) in decimal form

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  3. State the product law of exponents.

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  4. State the power law of exponents

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  5. For any positive real number x , find the value of ((x^a)/(x^b))^(a+b)...

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  6. Write the value of {5"("8^(-1/2)"}"^(-1/4)}^2

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  7. For any positive real number x;write the value of {(x^a)^b}^(1/(ab)) {...

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  8. If (x-1)^3=8, what is the value of (x+1)^2\ ?

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  9. If 2^4\ xx\ 4^2=16^x , then find the value of x ?

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  10. If 3^(x-1)=9 and 4^(y+2)=64 , what is the value of x/y\ ?

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  11. Write the value of root(3)(7)\ xx\root(3)( 49)

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  12. Write (1/9)^(-1/2)\ xx\ (64)^(-1/3) as a rational number.

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  13. Write the value of root(3)(125)\ xx\ root(3)(27)

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  14. The value of {2-3(2-3)^3}^3 is 5 (b) 125 (c) 1/5 (d) -125

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  15. (256)^(0. 16)xx(256)^(0. 09)=? 4 b. 16 c. 64 d. 256. 25

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  16. If 10^(2y)=\ 25\ , then 10^(-y) equals -1/5 (b) 1/(50) (c) 1/(62...

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  17. The value of x-y^(x-y) when x=2 and y=-2 is 18 (b) -18\ (c) 14 (...

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  18. The product of the square root of x with the cube root of x is (a) cub...

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  19. if 9^(x+2)=240+9^x , then x= 0. 5 (b) 0.2 (c) 0.4 (d) 0.1

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  20. The seventh root of x divided by the eight root of x is x (b) sqrt(...

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