(6^2)^x = 1, what is the value of x? Explain your answer!

- Spring98

(6^2)^x = 1, what is the value of x? Explain your answer!

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- Spring98

@madhu.mukherjee.946

- Spring98

@Nnesha @sleepyjess @peachpi @mathlover2014

- Spring98

@misty_fox @

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## More answers

- rishavraj

hint
a^0 = 1

- rishavraj

and
(a^x)^y = a^{xy}

- Spring98

Can you explain this to me step by step i don't get this. plz

- Spring98

anyone?

- anonymous

x = 0 because anything raised rto the 0 power is 1

- madhu.mukherjee.946

6^2=36
so 36 ^0 =1

- Spring98

Can you also help me with this one plz? this is part B.

- madhu.mukherjee.946

this is an indices property that anything raised to the power is 0

- Spring98

If (60)x = 1, what are the possible values of x? Explain your answer.

- madhu.mukherjee.946

60x=1
x=1/60

- madhu.mukherjee.946

this 60 multiplied to x and that was 36^x

- anonymous

Assuming you mean 60^x=1, that's exactly the same question.

- madhu.mukherjee.946

@Spring98

- madhu.mukherjee.946

is it 60^x 0r 60 x

- Spring98

It is not the same question how do i do part B?

- madhu.mukherjee.946

what is part b?

- madhu.mukherjee.946

60x=1
x=1/60

- madhu.mukherjee.946

@Spring98

- anonymous

a. (6^2)^x = 1
b. 60^x = 1
These are the same problem with a different number in parentheses.
If anything raised to the \(0\) power is 1, what does x have to be?

- Spring98

So is both Part A and Part B have the same answer?

- anonymous

yes.

- madhu.mukherjee.946

nope

- madhu.mukherjee.946

part is (60)x=1
x=1/60

- Spring98

there can not be such answers in exponents or can there?

- anonymous

@Spring98 yes there can be. that's called a rational exponent, my guess is you'll get there shortly. You should use 60^x to indicate exponents @madhu.mukherjee.946 was asking you to clarify the question above.

- anonymous

60x = 1 is different from 60^x = 1

- madhu.mukherjee.946

thats what i'm saying

- Spring98

sdo both the answers are 1 then right?

- Spring98

@peachpi @madhu.mukherjee.946

- anonymous

The right side of all these equations are 1. The exponents are all 0. What are you looking for in your questions, the exponent or the right side?|dw:1442594854616:dw|

- Spring98

what is Part B answer????

- anonymous

I don't give answers. You've gotten 3 explanations for this problem. What are you confused about?

- Spring98

i can't find the solution

- anonymous

|dw:1442595279818:dw|

- anonymous

so what does x have to be?

- Spring98

0?

- anonymous

yes!!!

- Spring98

wait but both the answers are going to be 0 right?

- madhu.mukherjee.946

yeah

- anonymous

yes, that's what they're trying to get you to learn.
It doesn't matter what the base is. Anything to the 0 is 1

- Spring98

Thanks Both of you!!

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