Question

express the following fraction in simplest form, only using positive exponents. $\frac{4t^{-7}}{-2(t^{-5})^{3}}$

Explanation:

Step1: Simplify coefficient fraction

$\frac{4}{-2} = -2$

Step2: Simplify denominator exponent

$(t^{-5})^3 = t^{-5 \times 3} = t^{-15}$

Step3: Rewrite fraction with simplified terms

$\frac{-2t^{-7}}{t^{-15}}$

Step4: Subtract exponents of $t$

$t^{-7 - (-15)} = t^{8}$

Step5: Combine coefficient and variable

$-2 \times t^{8}$

Answer:

$-2t^8$