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

Answer 1

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,

a^m × aⁿ = a^{m + n}

x² × x³ = x^{2 + 3} = x⁵

Therefore, fifth power of x.