Simplify (t^-2)^6

${(t^{- 2})}^{6}$

Step 1

Multiply the exponents in ${(t^{- 2})}^{6}$ .

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

$t^{- 2 \cdot 6}$

Multiply $- 2$ by $6$ .

$t^{- 12}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{t^{12}}$