# Math Help - Cane someone assist me with this please????

1. ## Cane someone assist me with this please????

Simplify the expression by first converting to rational exponents. Assume that all variables represent positive real numbers

5^ √t³
_____
6^√ t³

The numbers 5 and 6 are indexes.

2. Originally Posted by HappyFeet
Simplify the expression by first converting to rational exponents. Assume that all variables represent positive real numbers

5^ √t³
_____
6^√ t³

The numbers 5 and 6 are indexes.
$\sqrt{t^3}=t^{3/2}$ , so

$
\frac{5^{\sqrt{t^3}} }{6^{\sqrt{t^3}}} =\frac{5^{t^{3/2}} }{6^{t^{3/2}}}=\left( \frac{5}{6}\right)^{t^{3/2}}
$

CB