# SOLUTION: Solve. What expression raised to the fourth power is 81x to the 12th power y to the 8th power z to the 16th power

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve. What expression raised to the fourth power is 81x to the 12th power y to the 8th power z to the 16th power      Log On

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 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Polynomials-and-rational-expressions Question 112686: Solve. What expression raised to the fourth power is 81x to the 12th power y to the 8th power z to the 16th powerAnswer by SHUgrad05(58)   (Show Source): You can put this solution on YOUR website!To solve this take the 4th root of (81x^12y^8z^16): Note: When taking and exponent to a power, you multiply the exponents and when multiplying, you add exponents. The 4th root of 81=3 (3*3*3*3 = 81) The 4th root of x^12=x^3 (x^3*x^3*x^3*x^3 = x^12) The 4th root of y^8=y^2 (y^2*y^2*y^2*y^2 = y^8) The 4th root of z^16=z^4 (z^4*z^4*z^4*z^4 = z^16) 3x^3y^2z^4