How do you simplify 5^(2/3) * 5^(4/3)523543?

2 Answers
Apr 5, 2018

5^(2/3) * 5^(4/3)523543 can be simplified to 2525.

Explanation:

By exponent laws, x^a*x^b = x^(a+b)xaxb=xa+b.

5^(2/3) * 5^(4/3)523543
=5^(2/3+4/3)=523+43
=5^(6/3)=563
=5^2=52
=25=25

Apr 5, 2018

color(green)(=> 5^(2)52

Explanation:

https://www.youtube.com/watch?v=ARLS2TmFT94https://www.youtube.com/watch?v=ARLS2TmFT94

Given 5^(2/3) * 5 ^ (4/3)523543

As per the theory of inices,

x^m * x ^n = x^ (m + n)xmxn=xm+n

:. => 5 ^ ((2/3) + (4/3))

=> 5 ^ ((2+4)/3), " taking 3 as LCM "

=> 5^(6/3) " or " 5^(2)