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Spring98
 one year ago
Part A: If (2^6)^x = 1, what is the value of x? Explain your answer.
Part B: If (5^0)^x = 1, what are the possible values of x? Explain your answer.
Spring98
 one year ago
Part A: If (2^6)^x = 1, what is the value of x? Explain your answer. Part B: If (5^0)^x = 1, what are the possible values of x? Explain your answer.

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Spring98
 one year ago
Best ResponseYou've already chosen the best response.1@jdoe0001 Can you help me with this one too. I can't pas my quiz and if i don't get 80% or more i can't go on.

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1\(\bf \textit{part A, multiply both sides by }\qquad \cfrac{1}{26} \\ \quad \\ \textit{part B, multiply both sides by }\qquad \cfrac{1}{50}\) what does that give you?

Spring98
 one year ago
Best ResponseYou've already chosen the best response.1they both equal 1 @jdoe0001

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1\(\bf (26)x=1\implies \cfrac{1}{\cancel{26}}\cdot (\cancel{26})x=1\cdot \cfrac{1}{26}\implies x=? \\ \quad \\ \quad \\ (50)x=1\implies \cfrac{1}{\cancel{50}}\cdot (\cancel{50})x=1\cdot \cfrac{1}{50}\implies x=?\)

Spring98
 one year ago
Best ResponseYou've already chosen the best response.10.0384615384615385 is part A and 0.02for part B @jdoe0001

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1\(\huge \circ.\circ\)

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1notice, the number on the left cancelled out with the denominator

Spring98
 one year ago
Best ResponseYou've already chosen the best response.1but what happened with the exponents?

Spring98
 one year ago
Best ResponseYou've already chosen the best response.1@zepdrix @jdoe0001 can you guys plz help me?

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1woops, got a typo there \(\bf (26)x=1\implies \cfrac{1}{\cancel{26}}\cdot (\cancel{26})x=1\cdot \cfrac{1}{26}\implies \cfrac{1}{1}\cdot x=\cfrac{1}{26}\implies x=\cfrac{1}{26} \\ \quad \\ \quad \\ (50)x=1\implies \cfrac{1}{\cancel{50}}\cdot (\cancel{50})x=1\cdot \cfrac{1}{50}\implies \cfrac{1}{1}\cdot x=\cfrac{1}{50}\implies x=\cfrac{1}{50}\)

Spring98
 one year ago
Best ResponseYou've already chosen the best response.1i know but there is expopnents and i'm going to get this wrong.

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1ohh...shoot.. is not what you originally posted though hmm.... need to dash in secs..... you may want to repost

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0\[\large\rm (2^{6})^x=1\]Applying a rule of exponents to the left side gives us\[\large\rm 2^{6x}=1\]Rewrite the right side as a power of 2. 2 to what power = 1?

Spring98
 one year ago
Best ResponseYou've already chosen the best response.1ok i will repost and i will tag you k @jdoe0001

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Good. Anything to the zero power is 1. 2^0=1. Therefore we can write our equation:\[\large\rm 2^{6x}=1\]as\[\large\rm 2^{6x}=2^0\]Since the bases are the same, we can equate the exponents.

Spring98
 one year ago
Best ResponseYou've already chosen the best response.1how did the 2 end up a 0. and isn't the x supposed to be a 0

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0I didn't change anything about the left side. I rewrite 1 as 2^0.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0Therefore, equating the exponents gives us \(\large\rm 6x=0\) which leads to \(\large\rm x=0\)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.0For the other problem:\[\large\rm (5^0)^x = \color{orangered}{1}\]again, rewrite 1 as a power of 5,\[\large\rm (5^0)^x = \color{orangered}{5^0}\]Apply exponent rule to the left side,\[\large\rm (5^{0x}) = \color{orangered}{5^0}\]Which leads to\[\large\rm 0x=0\]And it looks like ANY value of x is going to solve this one.
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