Question

Diego wrote 6^4⋅8^3 = 48^7. Explain what Diego’s mistake was and how you know the equation is not true.

Answer 1

He did not follow order of operations or PEMDAS first do the exponents then multiply the numbers
You can’t simplify by combining like terms because there aren’t any like terms

Answer 2

Diego multiplied the bases together and added the  powers together. He cannot do this if the bases are not the  same, which in this case  6 and 8 are not.