Number 2 says
Write the given equation in exponential form.

Log8 1/512=-3

In exponential form it is given as, 8⁻³ =

Step-by-step explanation:

We have to write the given equation in the exponential form, that is in the form of base to the power value.

Given:

log₈ () = -3

Here the base is 8.

In the exponential form, it is written as,

base to the power 3 = 512

Here the reciprocal of 512 is given, so,

base to the power -3 =  

So the exponential form is given as, 8⁻³ =

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 .