When a product is raised to a power, it is equal to the product of each factor raised to that power. Show that this rule does not apply for a sum or difference to a power using the problem (5 – 3)2. You may indicate an exponent in your answer with ^. For example, 3x2 as 3x^2.

Question

When a product is raised to a power, it is equal to the product of each factor raised to that power.   Show that this rule does not apply for a sum or difference to a power using the problem (5 – 3)2. You may indicate an exponent in your answer with ^. For example, 3x2 as 3x^2.

anonymous · Answer

OK the real key to this problems is order of operations. now when you raise a product to a power you are just adding more multiplication so the order doesn't change but with addition or subtraction in the mix if you just raise each part of the addition or subtraction problem to the power it effects the order so to show it just solve the problem with the power on the outside and with it on the inside and it will be clear make sense?