laws of Rational exponents are same as real exponents. (i) `a^p xx a^q = a^(p+q)` (ii) `a^p/a^

If a is any real number and m;n are positive integers; then a^(p)xx a^(q)=a^(p+q)

laws of rational exponent (v)(ab)^(p)=a^(p)b^(p)(vi)((a)/(b))^(p)=(a^(p))/(b^(p))(vii)a^((p)/(q))=(a^(p))^((1)/(q))=(a^(q))^((1)/(p))

If p and q and q are two statements , prove that (i) ~( p vee q) -= (~p) ^^ ( q) " " (ii) ~( p ^^ q) = (~p) v(~q)

Power of a Rational number and the laws obeyed by their indices (exponents).

Write the following in the form of exponents: (i) 5^4 xx (-5)^2 (ii) 15 xx (-15)^(25) (iii) 12^5 / (-12)^3 (iv) (-p)^(14) / (-p)^7

State whether the statements given are True or False. If (p)/(q) is a rational number and m is a non-zero integer, then (p xx m)/( q xx m) is a rational number not equivalent to (p)/(q) .

if p xx q=p+q+(p)/(q) then 8xx2

State whether the statements given are True or False. If (p)/(q) is a rational number and m is a non-zero integer, then (p)/(q) = (p xx m)/( q xx m)

Study the following information carefully to answer these questions. (i) 'P ** Q means 'P is father of Q'. (ii) 'P # Q' means 'P is sister of Q'. (iii) 'P + Q' means 'P is brother of Q'. (iv) ' P-Q' means 'P is mother of Q'. (v) 'P/q' means 'P is son of Q'. (vi) 'P = Q' means 'P is daughter of Q'. Which of the following means 'X is the grandfather of Y'?

Study the following information carefully to answer these questions. (i) 'P ** Q means 'P is father of Q'. (ii) 'P # Q' means 'P is sister of Q'. (iii) 'P + Q' means 'P is brother of Q'. (iv) ' P-Q' means 'P is mother of Q'. (v) 'P/q' means 'P is son of Q'. (vi) 'P = Q' means 'P is daughter of Q'. Which of the following means 'X is the grandfather of Z' ?