What is $45^{-\frac{3}{2}}\times 45^{2}$ ?

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Answer 1 · 2016-10-02T02:24:54

$3sqrt5 ~= 6.7082$

Remember a law of indicies:

$a^mxxa^n = a^(m+n)$

In this example: $a=45, m=-3/2, n=2$

Hence $45^(-3/2)xx45^2 = 45^(-3/2+2)$

$=45^(1/2) = sqrt45$

$= sqrt(3xx3xx5) = 3sqrt5$

$~= 6.7082$

What is 45^{-\frac{3}{2}}\times 45^{2}45^{-\frac{3}{2}}\times 45^{2}?