Question

Could someone please help me with this problem

Answer 1

Answer:

a = -1 , b = 4 , c = 3 , d = 1

Step-by-step explanation:

Given:

$(-xy)^3 (xz) =ax^by^cz^d$

The right hand side = (-xy)³ (xz) = (-1)³ x³ y³ x z = (-1) x⁴ y³ z

Comparing the right hand side with the left hand side

∴ a = -1

∴ b = 4

∴ c = 3

∴ d = 1

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The general rules of exponent:

$1) \ a^m * a^n = a^{m+n}\\2) \ a^m / a^n = a^{m-n}\\3) (-1)^m = 1 \ (if \ m \ is \ +) and \ = \ -1 \ (if \ m \ is \ -)$