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Question
x is a non-zero rational number. Product of the square of x with the cube of x is equal to the ______.
Options
second power of x
third power of x
fifth power of x
sixth power of x
Solution
x is a non-zero rational number. Product of the square of x with the cube of x is equal to the fifth power of x.
Explanation:
From the question, it is given that,
The square of x = x2
The cube of x = x3
As per the condition given in the question, x2 × x3
For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,
am × an = am+n
x2 × x3 = x2+3 = x5
Therefore, fifth power of x.
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