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

A. quotient of powers
B. power of quotient
C. product of powers
D. power of product

2 Answers

6 votes

Answer: a

Explanation:

User Yogesh D
by
8.4k points
6 votes

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

User Delevoye Guillaume
by
8.2k points

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