Question

Which expressions are equivalent to (2 cdot 3 cdot 7)?

a) (2 times 2 times 3 times 3 times 7)
b) (2^2 times 3^2 times 7)
c) (2 √3 times 7)
d) (2^2 √7)

Answer 1

To determine which expressions are equivalent to (2 · 3 · 7), we can simplify each expression.

Step-by-step explanation:

The expression (2 · 3 · 7) can be rewritten as:

a) (2 · 2 · 3 · 3 · 7)

b) (22 · 32 · 7)

c) (2 √3 · 7)

d) (22 √7)

To determine which expressions are equivalent, we need to simplify each expression.

a) (2 · 2 · 3 · 3 · 7) = 4 · 9 · 7 = 252

b) (22 · 32 · 7) = 4 · 9 · 7 = 252

c) (2 √3 · 7) = 2 √21

d) (22 √7) = 4 √7

Therefore, expressions a) and b) are equivalent to (2 · 3 · 7).