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Try the following example. Remember to use the hints if you need them. Solve for x. 2.9×10−7=(x)(x)2(4.6)(4.6)2(3)2 Choose the correct answer. View Available Hint(s) Choose the correct answer. 4.0×10−6 2.3 2.3×10−2 I don’t know. I am unable to obtain any of the answers but I do not want to give up.

Respuesta :

Answer:

[tex]2.3\times 10^{-2}[/tex]

Step-by-step explanation:

Given equation,

[tex]2.9\times 10^{-7}=\frac{(x)(x)^2(4.6)}{(4.6)^2(3)^2}[/tex]

[tex]2.9\times 10^{-7}=\frac{x^3}{9\times 4.6}[/tex]

[tex](\because a^m = \frac{1}{a^{-m}})[/tex]

By cross multiplication,

[tex]2.9\times 9\times 4.6\times 10^{-7}=x^3[/tex]

[tex]120.06\times 10^{-7}=x^3[/tex]

[tex]\implies x = (120.06\times 10^{-7})^\frac{1}{3}[/tex]

[tex]=0.0228980999294[/tex]

[tex]\approx 0.023[/tex]

[tex]=2.3\times 10^{-2}[/tex]

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