How would you explain to your friend why the quotient of (a^3b^4)²= a^6 b^8 ≠a^5 b^6
the square indicates you have 2 copies of a^3 and b^4---> a total of 6 copies of a and 8 copies of b
Seeing the type of math that this is, you've,already gone through proofs. So show it to them with a proof or change a and b to actual numbers and have them solve the problem
A^5B^6 doesn't equal the latter because the exponents are smaller
because [a^b]^c = a^bc NOT a^(b+c)
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the square indicates you have 2 copies of a^3 and b^4---> a total of 6 copies of a and 8 copies of b
the square indicates you have 2 copies of a^3 and b^4---> a total of 6 copies of a and 8 copies of b
Seeing the type of math that this is, you've,already gone through proofs. So show it to them with a proof or change a and b to actual numbers and have them solve the problem
A^5B^6 doesn't equal the latter because the exponents are smaller
because [a^b]^c = a^bc NOT a^(b+c)