Simplify the expression (2 27) (3 32).

A. 18 6

B. 35 6

C. 72 6

D. 36 24

Write 34392.55 in scientific notation.

A. 3.439255 * 10^3

B. 3.439255 * 10^4

C. 3.439255 * 10^4

D. 3.439255 * 10^3

What is the value of j in the equation j + j + 14 = 3 j + 10?

A. 2

B. 16

C. 2

D. 4

Lets start with the easiest. - Scientific notation-

So we have out decimal, now we are going to move it to the left to get this problem greater then one and less then 10.

So lets see how many places the decimal needs to move.

And the answer to that is 4.

Reason: We moved the decimal 4 places to the left to make this problem greater then one and less then 10.

Now our answer is 3.439255*10^4

The 4 is positive because we moved the decimal to the left.

Now lets go to the first problem: Your answer is C) 72 sq of 6.

Reason:

To simplify radicals, factor out the perfect squares under the √ signs

Now take the square roots of the perfect squares

Now multiply out the integers and the radicals separately

and you get 72√6

Now for the last one.

j = 16

Reason:

Bring all the √j to one side and all the numbers to the other side, it may sound confusing but its really easy.

4 is root j. But we still want to find j. We need to square both sides.

and then you get 16.