Question

What monomial do you have to raise to the power of 2 to get the monomials below? (1000000m18)

Answer 1

(1000m⁹)²

Explanation:

A monomial is an expression containing just one term. Given the monomial 1000000m¹⁸, to get the monomial we need to raise to the power of 2 to get this given monomials, the following steps must be taken using the laws of indices.

In indices,
`(a^m)^n = a^m^n`, applying this rule to the question we have;

1000000m¹⁸

= (10*10*10*10*10*10)m¹⁸

= 10⁶m¹⁸

= 10⁶*(m³)⁶

= (10*m³)⁶

= (10m³)⁶

= (10m³)²ˣ³

= (10³m⁹)²

= (1000m⁹)²

The last result gives the required expression