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Prove that: (3^(-3) xx 6^2xx sqrt(98))/(...

Prove that: `(3^(-3) xx 6^2xx sqrt(98))/(5^2 xx root(3)(1/(25)) xx (15)^(-4/3) xx 3^(1/3))=28sqrt(2)`

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To prove the equation \[ \frac{3^{-3} \times 6^2 \times \sqrt{98}}{5^2 \times \sqrt[3]{\frac{1}{25}} \times 15^{-4/3} \times 3^{1/3}} = 28\sqrt{2} \] we will simplify the left-hand side step by step. ...
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Simplify : (3^(-3)xx6^(2)xx sqrt(98))/(5^(2)xx((1)/(25))^((1)/(3))xx(15)^(-(4)/(3))xx3^((1)/(3)))

root(3)(2)times sqrt(5)

to prove (2^(n)+2^(n-1))/(2^(n+1)-2^(n)))=(3)/(2)(3^(-3)*6^(2)*sqrt(98))/(5^(2)*((1)/(25))^((1)/(3))*(15)^(-(4)/(3))*3^((1)/(3)))=28sqrt(2)

1 (4)/(5) xx 2 (2)/(3) xx 3 (1)/(3) xx (1)/(4) =

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RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
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  2. Prove that: ((64)/(125))^(-2/3)+1/(((256)/(625))^(1/4))+\ ((sqrt(25))/...

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  3. Prove that: (3^(-3) xx 6^2xx sqrt(98))/(5^2 xx root(3)(1/(25)) xx (15)...

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  4. Prove that: ((0. 6)^0- (0. 1)^(-1))/((3/8)^(-1) (3/2)^3+ (-1/3)^(-1))=...

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  5. 1/(1+x^(a-b))+1/(1+x^(b-a))=?

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  6. Show that : (x^(a(b-c)))/(x^(b(a-c)))/((x^b)/(x^a))^c=1 ((x^(a+b))^...

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  7. Show that: (i)\ (x^(a-b))^(a+b)\ (x^(b-c))^(b+c)\ (x^(c-a))^(c+a)=1 ...

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  9. Show that: ((3^a)/(3^b))^(a+b)\ ((3^b)/(3^c))^(b+c)\ ((3^c)/(3^a))^(c+...

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  10. If 2^x = 3^y =12^z show that 1/z= 1/y+2/x ​ ​

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  11. If 2^x=3^y=6^(-z) prove that 1/x+1/y+1/z=0

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  12. If a^x=b^y=c^z and b^2=a c , then show that y=(2z x)/(z+x)

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  13. If 3^x=5^y=(75)^z show that z=(xy)/(2x+y

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  14. If 27^x=9/(3^x), find xdot

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  15. Find the values of x in each of the following : (i)2^(5x)-:2^x=25^(2...

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  16. Find the value of x in each of the following: (i)\ (3/5)^x\ (5/3)^(2x)...

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  17. Find the value of x in each of the following: (i)2^(x-7) xx 5^(x-4)=1...

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  18. Find the value of x in each of the following: (i)\ 5^(2x+3)=1 (ii)\ ...

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  19. If x=2^(1/3)+ 2^(2/3) show that x^3-6x=6

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  20. Determine (8x)^x , if 9^(x+2)=240+9^x

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