Question

If (7^2)^x = 1, what is the value of x? Explain your answer.

If (7^0)^x = 1, what are the possible values of x? Explain your answer.

Answer 1

What's 7*7?

Answer 2

49

Answer 3

You may rewrite it as (49)^x = 1.

Answer 4

w8 is that for the first one

Answer 5

Yes.

Answer 6

shouldn't it be 7 times 2 or no?

Answer 7

Do you know what exponent always makes the numerical value as 1 for the result?

Answer 8

You wrote 7^2?

Answer 9

That's 7 to the power of 2. Which means (7)*(7) = 49.

Answer 10

ohhh omg im so dumb -.-

Answer 11

ok so the answer would be 1 for the first correct

Answer 12

Take a step back.

Answer 13

If the exponent is 0, the value becomes 1.

Answer 14

If x was 1, it would be 49^1 = 49.

Answer 15

49 does not equal 1, sorry.

Answer 16

so w8 sorry im not good at this, the answer would be....49^1 = 49 or (49)^x = 1

Answer 17

Here, let me rewrite it:
(7^2)^x = 1

Your GOAL is to find what the x value is which is an exponent in this case
(49)^x = 1
If x = 1
(49)^1 = 1
49 does not = 1.

if x = 0
(49)^0 = 1
1 = 1
Anything to the exponent of 1 equals 1.

Answer 18

Anything to the exponent of 0 equals 1, sorry for the typo.

Answer 19

ok i get it now thx! could u also help me with the second one?

Answer 20

Yes, of course, this one is actually cute, if I must say so myself.

Answer 21

lol ur a lifesaver i swear

Answer 22

(7^0)^x = 1
They try to trick you in a sense.

Answer 23

(7^0)^x = 1
7^0 already equals 1.
(1)^x = 1.
There is two values which allow this to equal one, can you guess the two values, or do you need me to explain it further?

Answer 24

sorry i dont know :/ would it be one of them be 0?

Answer 25

No, don't feel discouraged, you're fine.
Yes, one would be 0, good job.
(1)^0 = 1.
1 = 1. (:

Answer 26

Anything to the first power is the same numerical value.
(1)^1 = 1
1 = 1
1*1 = 1.
Just like when I stated (49)^1 = 49
49 * 1 = 49.

Answer 27

ohh ok so it would be 0 and 1 right

Answer 28

Yes, correct.

Answer 29

thank you soo much!

Answer 30

Anytime!