Question

EXPRESSIONS WITH FRACTION BARS Evaluate the expression. $$ \frac{10 \cdot 8}{4^{2}+4} $$

Short answer

The evaluated expression is 4.

Step-by-step solution

Simplify the Exponent Operation

First, according to the order of operations, the exponent should be evaluated. Thus, take the square of 4, which is \(4^{2} = 16\). The equation will then be \(\frac{10 \cdot 8}{16+4}\).

Perform the Multiplication Operation

Next, multiply 10 and 8, which equals 80. This turns the equation into \(\frac{80}{16+4}\).

Perform the Addition Operation

Then, do the addition in the denominator. The sum of 16 and 4 is 20. This simplifies the equation further into \(\frac{80}{20}\).

Perform the Division Operation

Lastly, divide 80 by 20, which equals 4. Thus, the final result of the given expression evaluates to 4.