RuthEden
RuthEden RuthEden
  • 24-09-2020
  • Mathematics
contestada

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

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officialstephhk
officialstephhk officialstephhk
  • 24-09-2020

Answer:

[tex]x=\frac{1}{64}[/tex] Exact Form

[tex]x=0.015625[/tex] Decimal Form

Step-by-step explanation:

[tex]\frac{(2^6)x}{2^6} =\frac{1}{2^6}[/tex] Divide each term in [tex](2^6)x=1[/tex] by [tex]2^6[/tex].

[tex]x=\frac{1}{2^6}[/tex] Cancel the common factor of [tex]2^6[/tex].

[tex]x=\frac{1}{64}[/tex] Raise 2 to the power of 6.

[tex]x=0.015625[/tex] Decimal Form.

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