Find the appropriate number in place of the symbol ’q’ . Let ‘K’ be any non-zero integer: `k^15 xx k^q= k^31`.

Find the appropriate number in place of the symbol ’p’ . Let ‘k’ be any non-zero integer: k^3xxk^4 = k^p

Find the appropriate number in place of the symbol '?' in the following. Let 'k' be any non zero integer k ^(15) xx k ^(?) = k ^( 31)

Find the appropriate number in place of the symbol '?' in the following. Let 'k' be any non zero integer k ^(3) xx k ^(4) = k ^(?)

k^15xxk^x=k^31impliesx =_

(True or false) In a rational number of the form p/q , q must be a non zero integer.(..........)

Find the value of k, so that the length of the subnormal at any point on the curve xy^(k)=a^(k+1) is a constant.

Find the value of k, so that the length of the subnormal at any point on the curve y=a^(1-k)x^(k) is a constant