High School

Which choices are equivalent to the expression below? Check all that apply.

\[(3-4)^3\]

A. 123
B. 83
C. 33.43
D. 3.43
E. 3.(3-4)
F. 1,728​

Answer :

The only choice that is equivalent to this expression is (E) 3.(3-4), which simplifies to -1. All the other choices are not equivalent to the given expression.

What are the equivalents of two expressions?

When two expressions can be reduced to a single third expression or when one of the expressions could be written in the same way as the other, they are said to be equivalent.

The phrase (3-4)3 can be made simpler as follows:

(3-4)

³ = (-1)³

= -1

Hence, (E) 3.(3-4) is the only option that is identical to this formula and simplifies to -1. None of the alternative options are identical to the stated expression.

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