Question

Help me with this question.

Answer 1

@agent0smith CAn you help me?

Answer 2

Simplify the left hand side of the equation in part A; what do you get?

Answer 3

What do you mean the left side?

Answer 4

Like the 7^2?

Answer 5

I mean the whole thing on the left hand side of the equals sign.

Answer 6

But what I don't get is the X could u help me with that?

Answer 7

use this exponent rule\[\Large (a^b)^c = a^{bc}\]

Answer 8

so its 7^2x?

Answer 9

Yes, but write out the whole equation.

Answer 10

(7^2x) = 1

Answer 11

Any ideas as to what x has to be?

Do you what the value of \[\large 7^0 \]is?

Answer 12

7?

Answer 13

No... this is something you should know...

Answer 14

ANY number to the power of zero is...?

Answer 15

0

Answer 16

@agent0smith 0 right

Answer 17

:/ Nope. A number with an exponent of 0 equals 1.

Answer 18

Oh sorry. So what would that mean to the equation.

Answer 19

Look back at your equation. What does x have to be, knowing what we just went over.

Answer 20

So X is 1 ?

Answer 21

Write out the equation.

Use what you JUST learned about a zero exponent on a number.

Answer 22

(7^21) = 1

Answer 23

Type 7^21 into a calculator. Is it equal to 1?

Answer 24

No

Answer 25

So you have \[\Large 7^{2x} =1\]And you now know that if the exponent on a number is zero, then it equals 1.

What does that tell you about the exponent on 7?

Answer 26

What do you mean?

Answer 27

the 2 on 7?

Answer 28

What is the exponent on the 7?

Answer 29

2

Answer 30

No it's not just 2.

Answer 31

ohh yeah 21

Answer 32

What? No... look at the equation

Answer 33

2x

Answer 34

So you have
\[\large 7^{2x}=1\]
And you now know that if the exponent on a number is zero, then it equals 1.

What does that tell you about the exponent on 7?

Answer 35

wait do you add it?

Answer 36

What does the exponent on 7 have to be, for it to equal 1?

Answer 37

3?

Answer 38

Go back and read where we talked about zero exponents.

Answer 39

wait so it changes to just 1 then?

Answer 40

No.

Answer 41

can you help me out im really bad at math

Answer 42

You should (hopefully) know this by now \[\large 7^0 = 1\]
Now compare that to
\[\large 7^{2x}=1\]

Answer 43

yeah I get that 7^0 = 1 but i dont know how to compare it to 7^2x = 1

Answer 44

so is x is 0?