Question

800 is equal to 8 into 10 power 8 into x power minus 3 by 2

Answer 1

$(800 = 8 \times {10}^{8} ) {x} ^{2} - \frac{3}{2}$ \\ = divide both sides by 8 to get:
100 = 10^8 x^(-3/2)
Multiply both sides by x^(3/2)
100 x^(3/2) = 10^8
x^(3/2) = 10^6
Raise both sides to the (2/3) power
x = 10^4
x = 10,000
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