Question

Which of the following is an equivalent expression for 8 ^ 3 * 6 ^ 3?48 ^ 3, 14 ^ 6, 48 ^ 6, 14 ^ 3

Answer 1

We want to know an equivalent expression for:

`8^3\cdot6^3`

We remember the property power of a product, which says:

`(a\cdot b)^n=a^n\cdot b^n`

And thus, using it we obtain:

`8^{3^{}}\cdot6^3=(8\cdot6)^3=48^3`

This means that an equivalent expression is 48³.