Question

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

Answer 1

Answer: a

Explanation:

Answer 2

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