2. Questions Bank
  3. 8th Class
  4. Mathematics
  5. Exponents and Power

8th Class Mathematics Exponents and Power Question Bank Exponents and Powers

  • question_answer
    \[{{\left( \frac{{{a}^{x}}}{{{a}^{y}}} \right)}^{z}}\times {{\left( \frac{{{a}^{y}}}{{{a}^{z}}} \right)}^{x}}\times {{\left( \frac{{{a}^{z}}}{{{a}^{x}}} \right)}^{y}}=\]__________. \[\left( a\ne 0\,\mathbf{and}\,\mathbf{a}\ne 1 \right)\])

    A)  1    

    B)  0             

    C)  \[{{a}^{xyz}}\]                      

    D)  \[{{a}^{xy+yz+zx}}\]

    Correct Answer: A

    Solution :

    (a): \[{{\left( \frac{{{a}^{x}}}{{{y}^{y}}} \right)}^{z}}\times {{\left( \frac{{{a}^{y}}}{{{y}^{z}}} \right)}^{x}}\times {{\left( \frac{{{a}^{z}}}{{{y}^{x}}} \right)}^{y}}\] \[=\frac{{{a}^{xz+yz+zx}}}{{{a}^{yz+zx+zy}}}=1\]


You need to login to perform this action.
You will be redirected in 3 sec spinner