What is the value of the expression $(8^{2}) \div (8^{3})$ $(8^2)div(8^3)$ ?

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Answer 1 · 2017-01-07T22:05:24

See full evaluation below:

First, we can rewrite this problem as:

$\frac{8^{2}}{8^{3}}$ $8^2/8^3$

Now, we can use a rule of exponents to simplify this expression:

$\frac{x^{a}}{x^{b}} = \frac{1}{x^{b - a}}$ $x^color(red)(a)/x^color(blue)(b) = 1/x^(color(blue)(b)-color(red)(a))$

$\frac{8^{2}}{8^{3}} \to \frac{1}{8^{3 - 2}} \to \frac{1}{8^{1}} \to \frac{1}{8}$ $8^2/8^3 -> 1/8^(3-2) -> 1/8^1 -> 1/8$ or $0.125$ $0.125$

What is the value of the expression (8^2)div(8^3)(82)÷(83)(8^2)div(8^3)?