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

Question

Simplify. $$ (-1)^{4}+2^{3} $$

Name: Problem 37, Chapter 15: Elementary and Intermediate Algebra
Uploaded: 2020-05-18T20:23:21-08:00
Duration: 28 s
Channel: Julie Silva
Description: Simplify. (-1)^4+2^3

   Simplify.
$$
(-1)^{4}+2^{3}
$$

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 15, Problem 37

Instant Answer

Solved by Expert Julie Silva

05/18/2020

Step 1

This means $-1$ times $-1$ times $-1$ times $-1$, which equals to $1$. So, $(-1)^{4} = 1$. Show more…

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Simplify. $$ (-1)^{4}+2^{3} $$

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Key Concepts

Order of Operations

The order of operations is a fundamental principle that establishes the sequence in which mathematical operations should be performed to correctly simplify an expression. This includes performing exponentiation before carrying out addition or other operations, ensuring consistency and accuracy in evaluation.

Expression Simplification

Expression simplification is the process of reducing a mathematical expression to its simplest form. This involves applying the correct arithmetic operations, following the order of operations, and using properties of exponents to combine and simplify terms.

Exponentiation

Exponentiation is the mathematical process of raising a number (the base) to a power (the exponent). It involves repeated multiplication of the base and incorporates special rules such as handling negative bases; for instance, raising a negative number to an even exponent results in a positive number.

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