Blog Tag Exponents

Prove that: 1/(1+ x^(a-b) )+ 1/(1+ x^(b-a) )=1

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Prove that: (m+n)^(-1) (m^(-1)+ n^(-1)) = (mn)^(-1)

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Evaluate: (a^(2n+1) ×a^((2n+1)(2n-1)))/(a^(n(4n-1)) ×(a^2)^(2n+3) )

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If 1125 = 3^m ×5^n; find m and n.

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Find x, if 9 ×3^x = (27)^(2x-3).

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Simplify:8^(4/3)+ ?25?^(3/2)- (1/27)^(-2/3)

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Simplify:[(64)^(-2) ]^(-3) ÷ [{(-8)^2 }^3 ]^2

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Simplify: (2^(-3)- 2^(-4))(2^(-3)+ 2^(-4))

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Evaluate: 9^0+ 9^(-1)- 9^(-2)+ 9^(1/2)- 9^(-1/2)

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Simplify:(x^(a+b) )^(a-b) .(x^(b+c) )^(b-c) .(x^(c+a) )^(c-a)

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Simplify:?(5&x^20 y^(-10) z^5 ) ÷ x^3/y^3

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Simplify: (xy)^(m-n).(yz)^(n-l).(zx)^(l-m)

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

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Evaluate: (x^(5+n) × (x^2 )^(3n+1))/x^(7n-2)

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Prove that: (x^a/x^b )^(1/ab).(x^b/x^c )^(1/bc).(x^c/x^a )^(1/ca) = 1

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