Question

*x^8 ÷ x² = ?*

1️⃣ 4
2️⃣ x⁴
3️⃣ x⁶
4️⃣ x​

Answer 1

Given :  x⁸ ÷ x²

To Find : Equivalent

Solution:

Laws of exponents :

$\begin{align} & {{\text{a}}^{n}}\times {{a}^{-n}}=1\text{ or }{{\text{a}}^{n}}=\frac{1}{{{a}^{n}}} \\ & {{a}^{m}}\times {{a}^{n}}={{a}^{m+n}} \\ & \frac{{{a}^{m}}}{{{a}^{n}}}={{a}^{m-n}} \\ & {{\left( {{a}^{m}} \right)}^{n}}={{\left( {{a}^{n}} \right)}^{m}}={{a}^{mn}} \\ & {{a}^{m}}\times {{b}^{m}}={{\left( ab \right)}^{m}} \\ & \frac{{{a}^{n}}}{{{b}^{n}}}={{\left( \frac{a}{b} \right)}^{n}} \\ & {{a}^{0}=1\\ \end{align}$

x⁸ ÷ x²

= x⁸ / x²

using  $\dfrac{{{a}^{m}}}{{{a}^{n}}}={{a}^{m-n}}$

= x⁽⁸⁻²⁾

= x⁶

Hence  x⁶ is the correct option

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