Mathematics, 04.02.2020 00:07 daisymae1172
The expression \[b^{-3\2} , b> 0 \] is the equivalent to?
Answers: 2
![a^\frac{m}{n}=\sqrt[n]{a^m}\\\\a^{-n}=\dfrac{1}{a^n}\\----------\\\\b^{-\frac{3}{2}}=\left(\dfrac{1}{b}\right)^\frac{3}{2}=\left(\dfrac{1}{b}\right)^{1\frac{1}{2}}=\left(\dfrac{1}{b}\right)^{1+\frac{1}{2}}=\dfrac{1}{b}\cdot\left(\dfrac{1}{b}\right)^\frac{1}{2}=\dfrac{1}{b}\cdot\dfrac{1}{b^\frac{1}{2}}\\\\=\dfrac{1}{b}\cdot\dfrac{1}{\sqrt{b}}=\dfrac{1}{b\sqrt{b}}=\dfrac{1\cdot\sqrt{b}}{b\sqrt{b}\cdot\sqrt{b}}=\dfrac{\sqrt{b}}{b\cdot b}=\dfrac{\sqrt{b}}{b^2}](/tpl/images/0498/3972/eb290.png)
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The expression \[b^{-3\2} , b> 0 \] is the equivalent to?...
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