Question

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.

Answer 1

Answer:

$2.3\times 10^{-2}$

Step-by-step explanation:

Given equation,

$2.9\times 10^{-7}=\frac{(x)(x)^2(4.6)}{(4.6)^2(3)^2}$

$2.9\times 10^{-7}=\frac{x^3}{9\times 4.6}$

$(\because a^m = \frac{1}{a^{-m}})$

By cross multiplication,

$2.9\times 9\times 4.6\times 10^{-7}=x^3$

$120.06\times 10^{-7}=x^3$

$\implies x = (120.06\times 10^{-7})^\frac{1}{3}$

$=0.0228980999294$

$\approx 0.023$

$=2.3\times 10^{-2}$