Question

simplify. express your answer using positive exponents.
\\(\frac{t^{4}}{t^{-9}}\\)

Explanation:

Step1: Apply exponent division rule

When dividing like bases, subtract exponents: $\frac{t^m}{t^n}=t^{m-n}$
$\frac{t^4}{t^{-9}} = t^{4 - (-9)}$

Step2: Simplify the exponent

Calculate the subtraction of negative number
$t^{4 + 9} = t^{13}$

Answer:

$t^{13}$