Question

Simplify the expression. $$8 x^{2} \div\left(-\frac{4}{5}\right)$$

Short answer

-10 x^{2}

Step-by-step solution

Understand the Problem

We're asked to simplify the expression \(8 x^{2} \div (-\frac{4}{5})\). To do this, remember that dividing by a fraction is the same as multiplying by its reciprocal.

Rewrite the Division as Multiplication

We rewrite the expression as \(8 x^{2}*(-\frac{5}{4})\). This is done by dividing by \(-\frac{4}{5}\), which is equivalent to multiplying by its reciprocal, \(-\frac{5}{4}\).

Simplify the Expression

Now, we multiply \(8 x^{2}\) by \(-\frac{5}{4}\). This gives us \(-10 x^{2}\).