What is the product of (x2)3 and x4 ?

ANSWER:  

The product of given two terms

SOLUTION:

Given, two terms are

First term is in indirect form, so let us convert it into direct form first.

we know the identity

applying this identity in above expression, becomes,

As the the second term is in direct form, we can now multiply both the terms.

Now, product of two terms =

we know the identity

when exponential terms with same base are multiplied, power should be added. So we get

Hence the product of two terms

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.