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

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Answer 1 · 2018-04-05T02:27:11

$5^(2/3) * 5^(4/3)$ can be simplified to $25$ .

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

$5^(2/3) * 5^(4/3)$
$=5^(2/3+4/3)$
$=5^(6/3)$
$=5^2$
$=25$

Answer 2 · 2018-04-05T02:27:58

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

![https://www.youtube.com/watch?v=ARLS2TmFT94]( useruploads.socratic.org )

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

As per the theory of inices,

$x^m * x ^n = x^ (m + n)$

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

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

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

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