Which exponent rule(s) would be used to simplify this expression? 2x5⋅12x−4

Question

The product exponent rule to add 5 + -4 to get an exponent of 1 on the x. You would also multiply 2 x 12 since they are coefficients.

The power-to-power rule since you have two different exponents on the x, so the new exponent would be -20. Also, you would add 2 and 12 using the product rule for exponents.

The quotient rule to subtract 2 - 12 = -10. You would also subtract the exponents to get 5 - 4 = 1 for the power of x.

The negative exponent rule to get 5 - (-4) = 9 for the power of x and then multiply 2 x 12 = 24 for the coefficient.

Answer 1

The correct answer is: The product rule to add the exponents of x, which gives an exponent of 1. The coefficient rule to multiply the coefficients 2 and 12.