Question

Which values of a and b make the equation true?

Answer 1

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

Answer 2

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