Thread: Exponents and the Value of X

Let r be the result of doubling both the base and the exponent of a^b, with b not = o. If r equlas the product of a^b and X6b what is the value of x?

Originally Posted by Rimas

Let r be the result of doubling both the base and the exponent of a^b, with b not = o. If r equlas the product of a^b and X6b what is the value of x?

X6b is supposed to be x^b?

If so then r = (2a)^(2b) = (a^b)*(x^b)

[2^(2b)]*[a^(2b)] = (a^b)*(x^b)

[2^(2b)]*[a^b]^2 = (a^b)*(x^b)

[2^(2b)]*[a^b] = x^b

{[2^(2b)]*[a^b]}^(1/b) = x

x = [2^2]*[a]

x = 4a

-Dan