What expression is equivalent to

Mathematics

1 answer:

Vladimir [108]3 years ago

4 0

One way to approach this would be to express 125^2 as (125)(125).

Note also that 125^(4^3) = 125^(1 + 1/3) = (125)(5)

Therefore, the given expression boils down to

(125)(125) 125
--------------- = ------- = 25
5 (125) 5

There are other ways in which you could reduce the given expression.

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What equation represents a line that passes through (4,1/3) and has a slope of 3/4

AysviL [449]

$\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{\frac{1}{3}})
\qquad \qquad \qquad \qquad 
% slope = m
slope = m\implies \cfrac{3}{4}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-\cfrac{1}{3}=\cfrac{3}{4}(x-4)\implies y-\cfrac{1}{3}=\cfrac{3}{4}x-3
\\\\\\
y=\cfrac{3}{4}x-3+\cfrac{1}{3}\implies y=\cfrac{3}{4}x-\cfrac{8}{3}$