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

Sagot :

We want to know an equivalent expression for:

[tex]8^3\cdot6^3[/tex]

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

[tex](a\cdot b)^n=a^n\cdot b^n[/tex]

And thus, using it we obtain:

[tex]8^{3^{}}\cdot6^3=(8\cdot6)^3=48^3[/tex]

This means that an equivalent expression is 48³.