Question

EXPRESSIONS WITH FRACTION BARS Evaluate the expression. $$ \frac{6^{2}-12}{3^{2}+15} $$

Short answer

The value of the given expression is 1

Step-by-step solution

Evaluate the Numerator

The numerator involves an exponentiation and a subtraction operation. Start by calculating the exponentiation part which is \(6^2\), then subtract 12 from the result. So, \(6^2 - 12 = 36 - 12 = 24\). Thus, the numerator simplifies to 24.

Evaluate the Denominator

The denominator includes an exponentiation and an addition operation. Evaluate \(3^2\) first and then add 15 to the result. So, \(3^2 + 15 = 9 + 15 = 24\). Hence, the denominator simplifies to 24.

Simplify the fraction

Now that both the numerator and the denominator have been simplified to 24, the whole fraction simplifies to \(24 / 24 = 1\).