Math Problem Statement

Which expression is equivalent to – w−14(4) A.w−0

B.w−1

C.−14w(4)

D.34w(4)

Solution

The given expression is:

w14(4)w - 14(4)

We need to simplify 14(4)14(4), which means multiplying 14 by 4:

14×4=5614 \times 4 = 56

So the expression becomes:

w56w - 56

None of the given options directly match this result, but it seems there might be a mistake in the original options. Let's go over each option to check for a possible equivalent form:

A. w0w - 0 — This is incorrect because the simplified expression is w56w - 56, not w0w - 0.

B. w1w - 1 — This is incorrect because the simplified expression is w56w - 56, not w1w - 1.

C. 14w(4)-14w(4) — This is incorrect because it involves multiplying ww, which wasn't in the original expression.

D. 34w(4)34w(4) — This is incorrect because it also involves multiplying ww.

Thus, none of the options seem to directly match the simplified expression w56w - 56. However, the correct simplification is indeed w56w - 56.

Do you have any other details or need clarification?

Here are 5 related questions for further practice:

  1. What is the simplified form of w5(3)w - 5(3)?
  2. If w=10w = 10, what is the value of w14(4)w - 14(4)?
  3. How do you simplify w2(10)w - 2(10)?
  4. What happens if you add 14(4)14(4) to both sides of w14(4)=0w - 14(4) = 0?
  5. How do you factor the expression w14(4)w - 14(4)?

Tip: Always follow the order of operations (PEMDAS) when simplifying expressions.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Order of Operations

Formulas

Multiplication within algebraic expressions

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grades 6-8