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

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:

Then, according to the stated property we have:

Thus, to simplify we must use the property of the power quotient of the same base

Quotient of powers

Option A

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

cosine

step-by-step explanation: