Question

Which exponent rule(s) would be used to simplify this expression? 2x5⋅12x−4
2
𝑥
5
⋅
12
𝑥
−
4
(1 point)
Responses

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

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 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 quotient rule to subtract 2 - 12 = -10. You would also subtract the exponents to get 5 - 4 = 1 for the power of x.
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 power to power rule since you have two different exponents on the x, so the new exponent would be -20. Also,

Answer 1

Choose the product rule: (2x^5)(12x^(−4)) = (2·12) x^(5 + (−4)) = 24 x^1 = 24x.