math4finance
General
Algebra
Geometry
Coordinate-geometry
Statistics
Calculus
math4finance
math4finance
Home
General
Algebra
Geometry
Coordinate-geometry
Statistics
Calculus
MATH SOLVE
Home
General
What is the simplified form of the fifth root of x to the fourth power times the fifth root of x to...
10 months ago
Q:
What is the simplified form of the fifth root of x to the fourth power times the fifth root of x to the fourth power?
Accepted Solution
A:
[tex]\bf \sqrt[5]{x^4}\cdot \sqrt[5]{x^4}\implies \sqrt[5]{x^4\cdot x^4}\implies \sqrt[5]{x^{4+4}}\implies \sqrt[5]{x^8}\implies \sqrt[5]{x^{5+3}} \\\\\\ \sqrt[5]{x^5\cdot x^3}\implies x\sqrt[5]{x^3}[/tex]