Exercises: Power Laws

Simplify the following term using the power laws

a^{4} \cdot d^{- 2} \cdot c^{9} \cdot a^{2} \cdot b^{6} \cdot d^{- 9} \cdot c^{5}

This content is licensed under
CC BY-SA 4.0 → What does that mean? serlo.org

$a^{4} \cdot d^{- 2} \cdot c^{9} \cdot a^{2} \cdot b^{6} \cdot d^{- 9} \cdot c^{5}$	$=$
	↓	Conclude identical variables by applying the power laws.
	$=$	$a^{4 + 2} \cdot b^{6} \cdot c^{9 + 5} \cdot d^{(- 2) + (- 9)}$
	$=$	$a^{6} \cdot b^{6} \cdot c^{14} \cdot d^{- 11}$
	↓	Conclude.
	$=$	${(a b)}^{6} \cdot c^{14} \cdot d^{- 11}$