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Which law would you use to simplify the expression 3^10/3^4?

Aquotient of powers
Bpower of quotient
Cproduct of powers
Dpower of product

Verified Answer :

carlosego

Keywords:

Division, powers of the same base, simplify, power law

For this case we have an expression formed by a division of powers of the same base in which we must apply a law to simplify said expression. By definition we have the property of the power quotient of the same base set:

\(\frac {a ^ m} {a ^ n} = a ^ {m-n}\)

Then, according to the stated property we have:

\(\frac {3 ^{ 10}} {3 ^ 4} = 3 ^ {10-4} = 3 ^ 6\)

Thus, to simplify \(\frac {3 ^ {10}} {3 ^ 4}\) we must use the property of the power quotient of the same base

Answer:

Quotient of powers

Option A

Answer: a

Step-by-step explanation:

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