TRUE or FALSE: Consecutive interior angles are always congruent.
1 answer:
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To solve this, you need to know three exponent rules:
1) Power of a product
Basically says
. This means a product raised to a power is the same as taking each factor to that power and multiplying them.
For example:
2) Product of powers
Basically says
. When two expressions with the same base (a) are multiplied, you can add their exponents while keeping the same base.
For example:
3) Power of a power
Basically says
. When an exponent is being raised to a exponent, you can multiply the exponents.
For example:
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Back to your problem:
You are asked to simplify
, Tackle it by simplifying both factors and then multiplying them together and simplifying again.
1) First use the power of a product rule to change
into 
. Simplify it into 
using the power of a power rule.
2) Simplify
into 
using the power of a power rule.
3) Multiply the simplified factors from part one and two and simplify using the product of powers rule:
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Answer:
1) Power of a product
Basically says
For example:
2) Product of powers
Basically says
For example:
3) Power of a power
Basically says
For example:
----
Back to your problem:
You are asked to simplify
1) First use the power of a product rule to change
2) Simplify
3) Multiply the simplified factors from part one and two and simplify using the product of powers rule:
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Answer: