Question

7.04] Choose the correct simplification of the expression (−5a5b4c3)0.

1

0

5a5b4c3

−5

Answer 1

I just need help with this question someone please help

Answer 2

\((−5a^5b^4c^3)^0\)

Answer 3

like this ?

Answer 4

if so, it equals 1

Answer 5

anything to the power 0 = 1

Answer 6

Yeah like tht

Answer 7

Okay can you please explain how you got that

Answer 8

By math convention, for any a, a^0 = 1, except for a=0 which is undefined.

Answer 9

Oh i thought it was saying that when theres a zero it automatically is zero

Answer 10

Any number raised to the zero power equals zero. The only exceptjion is zero to the zero power which is undefined.

Answer 11

The reason a number raised to the zero power equals zero is by convention. That means mathematicians decided to make it so.

Answer 12

they decided to do it for a practical reason.

Answer 13

Ohhhh so what about this one [7.06] Choose the correct simplification of the expression −4x2(6x − 5x2 − 5).

20x4 + 24x3 + 20x2

−9x4 + 2x3 − 9x2

20x4 − 24x3 + 20x2

−20x4 + 24x3 − 20x2

Answer 14

Here you need the distributive propeerty. Multiply the expression outside the parentheses, -4x^2, by every term inside the parentheses.

Answer 15

Okay so the answer is a?

Answer 16

No.
First, rearrange the terms inside the parentheses, so x is in descending order of exponent:
−4x2(5x2 + 6x − 5)
What is -4x^2 * 5x^2 ?
What is -4x^2 * 6x ?
What is -4x^2 * (-5) ?

Answer 17

Ok one second let me calculate

Answer 18

-20
-24
20

Answer 19

Those are the number parts. They are correct. But you also need the variable parts.
-20x^4
-24x^3
20x^2
Which choice has those terms?

Answer 20

Its either c or d its getting me confused because there should be a -24 and -20 so I dont know if its c or d

Answer 21

double check the signs. remember minus times minus is plus

Answer 22

Wait I made a mistake.

Answer 23

\[ −4x^2(6x − 5x^2 − 5)\]

do it step by step

Answer 24

Sorry. When I rearranged the rterms before, I wrote down the wrong sign for the -5x^2 term. Now it's correct.
First, rearrange the terms inside the parentheses, so x is in descending order of exponent:
−4x2(-5x2 + 6x − 5)
What is -4x^2 * (-5x^2) ?
What is -4x^2 * 6x ?
What is -4x^2 * (-5) ?

Answer 25

-4 x^2 is short for -4*x*x

6x is short for 6*x

-4*x*x * 6 * x is -4*6 *x*x*x

Answer 26

Ok

Answer 27

20
24
20

Answer 28

-24

Answer 29

Right.

Answer 30

so its c!?!?!

Answer 31

20x^4
-24x^3
20x^2

Answer 32

so its c

Answer 33

Yes, correct. Sorry about my mistake earlier.

Answer 34

No problem You have been such a huge help you are better than teachers. Have you ever thought about being a math teacher how old are you?