Write the Fraction in Simplest Form (6t)/(2(t^4)^3)

$\frac{6 t}{2 {(t^{4})}^{3}}$

Step 1

Cancel the common factor of $6$ and $2$ .

Factor $2$ out of $6 t$ .

$\frac{2 (3 t)}{2 {(t^{4})}^{3}}$

Cancel the common factors.

Factor $2$ out of $2 {(t^{4})}^{3}$ .

$\frac{2 (3 t)}{2 ({(t^{4})}^{3})}$

Cancel the common factor.

$\frac{2 (3 t)}{2 {(t^{4})}^{3}}$

Rewrite the expression.

$\frac{3 t}{{(t^{4})}^{3}}$

Step 2

Multiply the exponents in ${(t^{4})}^{3}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{3 t}{t^{4 \cdot 3}}$

Multiply $4$ by $3$ .

$\frac{3 t}{t^{12}}$

Step 3

Cancel the common factor of $t$ and $t^{12}$ .

Factor $t$ out of $3 t$ .

$\frac{t \cdot 3}{t^{12}}$

Cancel the common factors.

Factor $t$ out of $t^{12}$ .

$\frac{t \cdot 3}{t \cdot t^{11}}$

Cancel the common factor.

$\frac{t \cdot 3}{t \cdot t^{11}}$

Rewrite the expression.

$\frac{3}{t^{11}}$