Is the expression a^12 x a^4 equivalent to a^8 x a^8

Actually Welcome to the Concept of the Properties of indices.

Here, we have to prove that, if the above exponential equation are equal or not., let's prove it

1.)L.H.S

a^12*a^4 = a^m*a^n ===> a^(m+n)

hence, a^(12+4) ===> a^(16)

2.) R.H.S

===> a^8*a^8 = a^(8+8) ==> a^(16)

since here, LHS = RHS

so both are equal.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

idk

step-by-step explanation: