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ozzi
2 years ago
13

Which values of a and b make the equation true?

Mathematics
2 answers:
xxMikexx [17]2 years ago
7 0

Answer:

a = 3 & b = 3

Step-by-step explanation:

\small \sf \: \frac{ ( 4 xy )⁴ }{4xy  }= 4x {}^{a} y {}^{b}  \\

2⁴ x⁴ y ⁴ / 4 xy

simplify

16 x⁴ y⁴ / 4 xy

\small \sf  \frac{a {}^{b} }{a {}^{c} } \:  = a {}^{b - c}

16 / 4 × x⁴ - x × y⁴ - y

4 x³ y³

Therefore , a = 3 and b = 3

zimovet [89]2 years ago
5 0

Answer:

a=3

b=3

Step-by-step explanation:

(2xy)^4

----------------

4xy

Expand the numerator

2^4 x^4 y^4

---------------------

4xy

Simplify

16 x^4 y^4

---------------------

4xy

We know that a^b / a^c = a^(b-c)

16/4 * x^(4-1)  y^(4-1)

4 x^3 y^3

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