Video: Evaluating Algebraic Expressions Involving Exponents

If 𝑝 = 6 and 𝑛 = βˆ’2, evaluate 𝑝²/𝑛².

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Video Transcript

If 𝑝 equals six and 𝑛 equals negative two, evaluate 𝑝 squared over 𝑛 squared.

In order to evaluate 𝑝 squared over 𝑛 squared, we exchange our variables 𝑝 and 𝑛 with the numerical values we’re given. So, we’re going to start by plugging in our values, 𝑝 equals six and 𝑛 equals negative two. This will give us six squared over negative two all squared. And, we write our negative two in parentheses because we must square negative two and not just two by itself.

When we square a number, we multiply it by itself. So, six squared is the same as six times six. And, negative two all squared is the same as negative two times negative two. So, our top line, our numerator, becomes 36. And, our denominator will become four. 36 over four is the same as saying 36 divided by four, so our answer is nine. So, when 𝑝 equals six and 𝑛 equals negative two, 𝑝 squared over 𝑛 squared is equal to nine.

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