Which expression is equivalent to

20a2b0c−43a15b12c0

for all values of a, b, and c where the expression is defined?

1 answer

The expression can be simplified as follows:

20a^2b^0c^−43a^15b^12c^0

Since any nonzero number raised to the power of 0 is equal to 1:

20a^2(1)c^−43a^15b^12(1)

Simplifying further:

20a^2c^−43a^15b^12

Since c^−43 is equal to 1/c^43:

20a^2(1/c^43)a^15b^12

Multiplying the variables with the same base:

20(1/c^43)a^(2+15)b^12

Simplifying the exponents:

20(1/c^43)a^17b^12

Therefore, the expression 20a^2b^0c^−43a^15b^12c^0 is equivalent to 20(1/c^43)a^17b^12.