## raphaelll one year ago Evaluate the following. Write down the question and all steps of your solution. 16x4+3(2 ³ x5)

1. zepdrix

$\large\rm 16\times4+3\left(2^3\times5\right)$Remember your PEMDAS or something similar? It tells us how to prioritize these operations. P = Parentheses. That takes the highest priority. So we have to start here: $$\large\rm 2^3\times5$$ Now that we're in this room, within the brackets... What do we prioritize first, Exponent, or Multiplication?

2. raphaelll

I don't think i've ever heard of PEMDAS however since the second letter is E i would assume exponent?

3. zepdrix

Good. So apply the exponent BEFORE doing multiplication. $$\large\rm 2^3=2\cdot2\cdot2=8$$ So within the brackets we have $$\large\rm 8\times5$$

4. zepdrix

$\large\rm 16\times4+3\left(2^3\times5\right)$$\large\rm 16\times4+3\left(8\times5\right)$$\large\rm 16\times4+3\left(40\right)$Now that we've done everything in the brackets, we can drop the brackets and just treat it as multiplication.$\large\rm 16\times4+3\times40$So what next? Addition or multiplication? :)

5. raphaelll

multiplication first

6. zepdrix

k good :d do the multiplication for both of those groups, what do you get?

7. raphaelll

64 + 120

8. zepdrix

cool \c:/ looks correct!

9. zepdrix

Raphael, hmmmm wasn't that one of the Ninja Turtles? ;O

10. raphaelll

Cool thank you! i really need to remember PEMDAS, made it really simple, and yeah haha my parents named me after the saint though :)

11. zepdrix

oh cool :)

12. raphaelll

13. zepdrix

I generally prefer to write it like this:|dw:1441615777129:dw|Because you are NOT suppose to prioritize multiplication above division. They are on the same level. When you have a problem involving multiplication AND division steps, you'll need to deal with them from left to right, you don't necessarily do the multiplication first. Example:$\large\rm 100\div5\times4\times3$You would do the $$\large\rm 100\div5$$ step FIRST since it is further to the left.

14. zepdrix

Just something to keep in mind :)

15. raphaelll

Got it, so when it comes to questions that have multiplication and division , left to right is the order to do it in. Also, whilst you're here, how would i go about doing a question which was 8 to the power of negative 6 X 8 to the power of three since there is a negative power?

16. zepdrix

Oh I posted response in your original question. Click the notification to get back to it :D

17. zepdrix

The little sign post in the upper left corner with the orange popup on it.