Simplify : 5(8x4 $\div$ 2x6)
$\dfrac{8}{x^{2}}$
$\dfrac{2}{x^{2}}$
$\dfrac{20}{x^{2}}$
$\dfrac{20}{x^{4}}$
Explanation:
5(8x4 $\div$ 2x6) [since a$\div$b=$\dfrac{a}{b}$ , split the equation to make it easier to solve]
=5(8 $\div$ 2)(x4 $\div$ x6) [Get the quotient of 8 and 2.]
=5(4)(x4-6) [Using Rule $a^{m}\div a^{n}= a^{m - n}$]
=20(x-2) [Get the product of 5 and 4]
=$\dfrac{20}{x^{2}}$ [Using Rule $a^{-m}=\dfrac{1}{a^{m}}$]
5(8x4 $\div$ 2x6) [since a$\div$b=$\dfrac{a}{b}$ , split the equation to make it easier to solve]
=5(8 $\div$ 2)(x4 $\div$ x6) [Get the quotient of 8 and 2.]
=5(4)(x4-6) [Using Rule $a^{m}\div a^{n}= a^{m - n}$]
=20(x-2) [Get the product of 5 and 4]
=$\dfrac{20}{x^{2}}$ [Using Rule $a^{-m}=\dfrac{1}{a^{m}}$]