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Marrrta [24]
3 years ago
6

What value of n makes each statement true, pls include work

Mathematics
1 answer:
sammy [17]3 years ago
6 0

Answer:

1. n=2

2. n=12

3. n=2

Step-by-step explanation:

1

12xy³/4xⁿy=3y²/x

12x²y³=12y³xⁿ (cross multiplied)

x²=xⁿ (cancelled out (12y³))

2=n

2

(-3a/2b⁴)³=-27a³/8bⁿ

-27a³/8b¹²=-27a³/8bⁿ (cubed left side)

-216a³bⁿ =-216a³b¹² (cross multiplied)

bⁿ=b¹² (cancelled out (-216a³))

n=12

3

(xy⁶/x⁵yⁿ)²=y⁸/x⁸

x²y¹²/x¹⁰y²ⁿ=y⁸/x⁸ (squared left side)

x²y¹²/x¹⁰y²yⁿ=y⁸/x⁸

y¹⁰/x⁸yⁿ=y⁸/x⁸ (simplified)

y¹⁰x⁸=x⁸yⁿy⁸ (cross multiplied)

y²=yⁿ (cancelled out (x⁸), simplified)

n=2

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