Video Transcript
Evaluate 𝑝𝑛 squared over 𝑡 plus
11 for 𝑛 is equal to four, 𝑝 is equal to five, and 𝑡 is equal to five.
In this question, we are asked to
evaluate a given algebraic expression by using the values of three variables. To answer this question, we need to
start by substituting 𝑛 is equal to four, 𝑝 is equal to five, and 𝑡 is equal to
five into the algebraic expression. Doing this gives us five times four
squared over five plus 11.
We now need to evaluate this
expression. To do this, we can start by
recalling that when using fraction notation, we evaluate the numerators and
denominators separately. There is only a single operation in
the denominator, so we can evaluate this first. We have five plus 11 is equal to
16. This gives us five times four
squared over 16.
At this point, we could use the
order of operations to evaluate the numerator. We would evaluate the exponent
first and then the multiplication. This would work, and we could use
this method to obtain the correct answer. However, the numerator is already a
product, and we can note that the denominator is equal to four squared. Therefore, we can cancel the shared
factor of 16 in the numerator and denominator to obtain five over one, which is just
equal to five.
