(12x^24^-2)^5 (4xy^-3)^-7

Question

please show step by step producers! id appreciate it so much.

Answer 1

If you mean (12x²⁴y^-2)⁵(4xy^-3)^-7, then:

(3×4x²⁴y^-2)⁵(4xy^-3)^-7,

4⁵(3x²⁴y^-2)⁵(4^-7)(xy^-3)^-7,

4^5-7(3x²⁴y^-2)⁵(xy^-3)^-7,

4^-23⁵(x¹²⁰y^-10)(x^-7y⁺²¹),

(243/16)x^120-7y^21-10,

(243/16)x¹¹³y¹¹ or 243x¹¹³y¹¹/16.

If you mean (12x²4y^-2)⁵(4xy^-3)^-7, then:

(3×4x²4y^-2)⁵(4xy^-3)^-7,

4¹⁰(3x²y^-2)⁵(4^-7)(xy^-3)^-7,

4^10-7(3x²y^-2)⁵(xy^-3)^-7,

4³3⁵(x¹⁰y^-10)(x^-7y⁺²¹),

(64×243)x^10-7y^21-10,

15552x³y¹¹.