(3x^7)^4=cx^n solve for c

Question

(3x^7)^4=cx^n solve for c

Answer 1

Multiply exponents, isolate the c and simplify:

(3x⁷)⁴ = cxⁿ

3⁴x²⁸ = cxⁿ

3⁴x²⁸x^-n = c

81x^28-n = c

Answer 2

This problem is about the 'power to a power' rule.

Use the power to a power rule on the left hand side, then divide by x^n to get

c = 3^4 x^(28-n)