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CALCUTTA BOOK HOUSE-LAWS OF INDICES-EXERCISE - 6
- Solve : 9 xx81^x= 27^(2-x).
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- (x^(2^(n-1))+y^(2^(n-1)))(x^(2^(n-1))-y^(2^(n-1)))=
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- (x^(2^n)-y^(2^n))/(x^(2^(n-1))+y^(2^(n-1)))=
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- [{(2^(-1))^(-1)}^(-1)]^(-1)=
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- The value of {(x^(-5))^(2/3)}^(-3/10) is
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- Which one of the following numbers is the greatest ? 2^(30),3^(24),4^(...
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- Which one of the following numbers is the smallest? 3^(1/3),2^(1/2),4^...
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- [{(a^(-1))^(-1)}^(-1)]^(-1)=
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- If 49^x = 7^3, then x=
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- If 4 xx8^x = 256, then (-x)^(-x)=
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- root(5)(x^8sqrt(x^8sqrt(x^(-8))))=
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- Find the value of (((8a^3)/(27x^(-3)))^(2/3)xx((64a^3)/(27x^(-3)))^(-2...
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- Simplify root(3)(a^(-2)).b xx root(3)(b^(-2)).c root(3)(c^(-2)).a.
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- If a^x=b,b^y =c,c^z=a, find the value of xyz.
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- Calculate : 9^(-3)xx((16)^(1/4))/(6^(-2))xx((1)/(27))^(-4/3).
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- If x^y=y^x, then prove that (x/y)^(x/y)=(x)^((x)/(y)-1).
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- Prove that (a^(3/2)+ab)/(ab-b^3)-(sqrt(a))/(sqrt(a)-b)=(sqrt(a))/(b).
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- Show that (x^(b-c))^((1)/(bc))xx(x^(c-a))^((1)/(ca))xx(x^(a-b))^((1)/(...
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- Factorise : (a+b).
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- Find the value of ((bc)^(b-c)(ca)^(c-a)(ab)^(a-b))/((a^(b-c)b^(c-a)c^(...
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- If p=a^x,q=a^y" and "a^2=(p^yq^x)^z, then find the value of xyz.
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