Question

Muliplying exponents

Answer 1

In order to multiply terms with the same base, we can use the following property:

`a^b\cdot a^c=a^(b+c)`

So we have that:

`\begin{gathered} 5^3\cdot x^2\cdot x^(-3)\cdot5^3\cdot x^4 \\ =5^3\cdot5^3\cdot x^2\cdot x^(-3)^{}\cdot x^4 \\ =5^(3+3)\cdot x^(2-3+4) \\ =5^6\cdot x^3 \end{gathered}`