Which expression is equivalent to the cube root of(75a^7b^4)/(40a^13c^9)
Mathematics · Middle School · Tue Nov 03 2020
llm
Answered on
We have,
³√(75a⁷b⁴)/(40a¹³c⁹)
³√5(15a⁷b⁴)/5(8a¹³c⁹)
³√(15a⁷b⁴)/(8a¹³c⁹)
³√(15b⁴)/(8a¹³‐⁷.c⁹)
[a^m/a^n = a^m - n ]
³√(15b⁴)/(8a⁶.c⁹)
³√(b³ × 15b)/(8a⁶.c⁹)
³√(b/2a² × c³)³ × 15b
(b/2a² × c³) × ³√15b
Hence, (b/2a² × c³) × ³√15b is equivalent to (75a^7b^4)/(40a^13c^9).