Question

Find x, y, and z if (3⋅5)4⋅(2⋅3)5⋅(2⋅5)7=2x⋅3y⋅5z.

Answer 1

hope it helps.... thanks

Answer 2

x = 30, y = 10 and z = 14

Given:

(3 • 5) 4 • (2 • 3) 5 • (2 • 5) 7 = 2x • 3y • 5z

To find:

The value of x, y and z

Step-by-step explanation:

Here, (3 • 5) 4 • (2 • 3) 5 • (2 • 5) 7

= {(3 • 5) (2 • 2)} • {(2 • 3) 5} • {(2 • 5) 7}

= (3 • 5 • 2 • 2) • (2 • 3 • 5) • (2 • 5 • 7), since multiplication is associative

= {(3 • 5 • 2) 2} • {(2 • 5) 3} • {(2 • 7) 5}, since multiplication is commutative

= (30) 2 • (10) 3 • (14) 5

= 2 (30) • 3 (10) • 5 (14)

We have

2 (30) • 3 (10) • 5 (14) = 2x • 3y • 5z

Comparing both sides, we get

x = 30, y = 10 and z = 14.

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