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anonymous
 one year ago
What value of m solves the equation?
2^m = 1/8
anonymous
 one year ago
What value of m solves the equation? 2^m = 1/8

This Question is Closed

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Have you learned negative exponents?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0doing it now .. most annoying thing ever.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2\(\large a^{n} = \dfrac{1}{a^n} \)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2First, rewrite the fraction 1/8 as 1 over a power of 2. 8 is 2 to what power?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2\(\large 2^? = 8\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do you know the answer?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2\(8 = 2 \times 2 \times 2\) Ok?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2How do you write \(2 \times 2 \times 2\) as 2 raised to an exponent?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1440519623823:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Do you understand now how you write 8 as a power of 2? \(\large 8 = 2 \times 2 \times 2 = 2^3\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im getting way too angry about this i need the answer

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Once you know that \(8 = 2^3\), now you can replace 8 with \(2^3\) in the fraction. \(\large 2^m = \dfrac{1}{2^3} \) Ok so far?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Now we look again at the definition of a negative exponent. \(\large a^{n} = \dfrac{1}{a^n}\) We have \(\large \dfrac{1}{2^3} \) Compare the fraction above with the definition of negative exponent.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1440520093211:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2The base of the power in the denominator becomes the base. Then the exponent of the denominator becomes the negative of the exponent.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1440520193790:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[2^{m} = \frac{ 1 }{ 2^{3}}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[a ^{m} = \frac{ 1 }{ a ^{m} }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do you know the answer? .. dude ive only got about 3 minutes before i have to leave. please help me.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The answer has already been given.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Look at the equations I posted above you.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0canI need to know what m is

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1440520475499:dw