Question

Mark (✓) against the correct answer
(3⁻⁶ ÷ 3⁴) = ?
(a) 3⁻²
(b) 3²
(c) 3⁻¹⁰
(d) 3¹⁰

Answer 1

(c) $3^{-10}$

$$\begin{gathered} \left(3^{-6}÷3^4\right) \\ =\left(\frac{1}{3^6}÷3^4\right) \\ =\frac{1}{3^6}\times \frac{1}{3^4} \\ =\frac{1}{3^{\left(6+4\right)}} \\ =\frac{1}{3^{10}} \\ =3^{-10} \end{gathered}$$