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10 to the negative fourth power



Sagot :

Answer:

[tex]10^{-4} = 0.0001[/tex]

Step-by-step explanation:

Negative exponents make the base a reciprocal:

[tex]x^{-1} = \frac{1}{x}\\x^2 = \frac{1}{x^2}\\[/tex]

Therefore, we can rewrite [tex]10^{-4}[/tex] as:

[tex]10^{-4} = \frac{1}{10^4} = \frac{1}{10000} = 0.0001[/tex]

10^-4 = 0.0001

1 x 10^-4 = 10^-4

It's a negative power - so you divide the 1 by 10000 - to get 0.0001.

Same as 1/10000

Hope this helps!