7
AssignmentMultiple Select

Powers and Exponents

Question 7 • (AG Q1) Keystone Algebra 1 Block: 26-27 (DDiamond)

Which expanded expressions represent the exponential expression (–4)3 · p4? Select all that apply.

Answer
A
(–4) · (–4) · (–4) · (–4) · p · p · p
B
p · p · p · p · (–4) · (–4) · (–4)
C
p · (–4) · (–4) · p · (–4) · p
D
p · p · (–4) · (–4) · p · p · (–4)
E
(–4) · p · p · p · (–4) · (–4) · (–4)
F
(–4) · (–4) · p · (–4) · p · p · p

Explanation

The expression (–4)³ · p⁴ means multiplying three factors of –4 and four factors of p. Choices B, D, and F each contain exactly three –4 factors and four p factors; the order of the factors does not change the product. The other choices have the wrong number of at least one factor.

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