Question 172751
a.{{{X^4 * X^5 = X^(4+5)}}}={{{x^9}}}  use multiplication property of exponents with same base  {{{x^a*x^b=x^(a+b)}}}
b. {{{Z^9/Z^10 =z^(9-10)=z^(-1)=1/z}}}   use division property of exponents with same base          {{{x^a/x^b=x^(a-b)}}} and reciprocal property {{{x^(-a)=1/x^a}}}

c. log3Y + log3Z= log3(Y*Z) use The Product Rule for Logarithms logxA+logxB=logx(A*B)


d. log5Y - log5Z=log5(Y/Z) use The Quotient Rule for Logarithms logxA-logxB=logx(A/b)