Question

If x = 5^9and y 9 ^11then prove that : |x×y|=|x|×|y|​

Answer 1

Answer:

Given: Value of x = 5/9 and y = 9/11

To find: Prove that | x × y | = | x | × | y |

Solution:

Lets consider the LHS first, we have | x x y |.

Now solving by normal multiplication, we get:

| 5/9 x 9/11 |

= | 5/11 |

= 5/11 (i)

Now considering the RHS side, we have: | x | × | y |

Putting values of x and y in RHS, we get:

| 5/9 | × | 9/11 |

= 5/9 x 9/11

= 5/11 (ii)

So from (i) and (ii), we prove that LHS = RHS.

So from above solution we proved that |x×y| = |x| × | y |

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