step 1 We're being asked to simplify the given expression. So, according to the order of operations, we

Question

Simplify. $$ (-1)^{5}+2^{4} $$

Name: Problem 38, Chapter 15: Elementary and Intermediate Algebra
Uploaded: 2020-05-18T20:24:15-08:00
Duration: 34 s
Channel: Julie Silva
Description: Simplify. (-1)^5+2^4

   Simplify.
$$
(-1)^{5}+2^{4}
$$

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 15, Problem 38

Instant Answer

Solved by Expert Julie Silva

05/18/2020

Step 1

This means $-1$ times $-1$ times $-1$ times $-1$ times $-1$, which equals $-1$. So, $(-1)^{5} = -1$. Show more…

Show all steps

Thanks for your feedback!

Simplify. $$ (-1)^{5}+2^{4} $$

Play audio

Feedback

Julie Silva and 79 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Order of Operations

The order of operations is a set of rules used to determine the sequence in which parts of a mathematical expression are evaluated. This commonly follows the PEMDAS/BODMAS rule, ensuring that exponents are evaluated before addition and subtraction, which is crucial for correctly simplifying expressions.

Exponentiation

Exponentiation is a mathematical operation in which a number, known as the base, is multiplied by itself a specific number of times indicated by the exponent. This concept simplifies the representation of repeated multiplication and is foundational in algebra and higher mathematics.

Negative Base Exponentiation

When dealing with exponentiation of negative numbers, the result depends on whether the exponent is even or odd. If the exponent is even, the negative sign is eliminated, resulting in a positive value; if the exponent is odd, the negative sign is preserved, yielding a negative result.

Please give Ace some feedback