5. Q5d
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Similar Question 1
<p>Simplify using the laws of exponents. Express your final answer with positive powers only.</p><p><code class='latex inline'>\displaystyle (4b)^{\frac{1}{2}}(8b^{\frac{2}{5}}) </code></p>
Similar Question 2
<p>Simplify. Express your answers using only positive exponents. </p><p><code class='latex inline'> \displaystyle \frac{ab^2}{a^{\frac{1}{2}} b^{\frac{1}{3}}} </code></p>
Similar Question 3
<p>Simplify using the laws of exponents.</p><p><code class='latex inline'>\displaystyle (ab^2c^3)^{\frac{3}{4}} </code></p>
Similar Questions
Learning Path
L1 Quick Intro to Factoring Trinomial with Leading a
L2 Introduction to Factoring ax^2+bx+c
L3 Factoring ax^2+bx+c, ex1
Now You Try
<p>Simplify. Express your answers using only positive exponents. </p><p><code class='latex inline'> \displaystyle \frac{w^{\frac{1}{2}}}{w^{\frac{1}{3}}} </code></p>
<p>Write as a single power, then evaluate. Express answers in rational form.</p><p><code class='latex inline'> \displaystyle 4^{\frac{1}{5}}(4^{0.3}) </code></p>
<p>Simplify. Express your answers using only positive exponents. </p><p><code class='latex inline'> \displaystyle (y^{\frac{1}{2}})^{\frac{2}{3}} </code></p>
<p>Simplify using the laws of exponents. Express your final answer with only positive powers.</p><p><code class='latex inline'>\displaystyle 32^{\frac{2}{5}}(-32)^{\frac{3}{5}} </code></p>
<p>Simplify using the laws of exponents. Express your final answer with positive powers only.</p><p><code class='latex inline'>\displaystyle x^{\frac{2}{3}}x^{\frac{1}{5}} </code></p>
<p>Simplify using the laws of exponents. Express your final answer with positive powers only.</p><p><code class='latex inline'>\displaystyle (y^{\frac{3}{4}})^{\frac{2}{3}} </code></p>
<p>Simplify. Express answers with positive exponents.</p><p><code class='latex inline'> \displaystyle (x^4)^{\frac{1}{2}}(x^6)^{-\frac{1}{3}} </code> </p>
<p>Write as a single power, then evaluate. Express answers in rational form.</p><p><code class='latex inline'> \displaystyle \frac{(8^{-2})(8^{2.5})}{(8^6)^{-0.25}} </code></p>
<p>Write as a single power, then evaluate. Express answers in rational form.</p><p><code class='latex inline'> \displaystyle 100^{0.2}(100^{\frac{-7}{10}}) </code></p>
<p>Simplify using the laws of exponents.</p><p><code class='latex inline'>\displaystyle (ab^2c^3)^{\frac{3}{4}} </code></p>
<p>Write as a single power, then evaluate. Express answers in rational form.</p><p><code class='latex inline'> \displaystyle \frac{(16^{-2.5})^{-0.2}}{16^{\frac{3}{4}}} </code></p>
<p>Simplify using the laws of exponents. Express your final answer with positive powers only.</p><p><code class='latex inline'>\displaystyle (4b)^{\frac{1}{2}}(8b^{\frac{2}{5}}) </code></p>
<p>Write as a single power.</p><p><code class='latex inline'> \displaystyle 8^{\frac{2}{3}} \div 8^{\frac{1}{3}} </code></p>
<p>Simplify. Express your answers using only positive exponents. </p><p><code class='latex inline'> \displaystyle \frac{ab^2}{a^{\frac{1}{2}} b^{\frac{1}{3}}} </code></p>
<p>Write as a single power.</p><p><code class='latex inline'> \displaystyle 8^{\frac{2}{3}}(8^{\frac{1}{3}}) </code></p>
<p>Simplify. Express your answers using only positive exponents. </p><p> <code class='latex inline'> \displaystyle k^{\frac{3}{4}} \div k^{-\frac{1}{4}} </code></p>
<p>State whether each expression is true or false.</p><p><code class='latex inline'> \displaystyle \left[(x^{\frac{1}{3}}) (y^{\frac{1}{3}})\right]^6 = x^{2}y^{2} </code></p>
<p>Simplify. Express your answers using only positive exponents. </p><p><code class='latex inline'> \displaystyle (w^{-\frac{8}{9}})^{-\frac{3}{4}} </code></p>
<p>Write as a single power, then evaluate. Express answers in rational form.</p><p><code class='latex inline'> \displaystyle \frac{27^{-1}}{27^{\frac{-2}{3}}} </code></p>
<p>Simplify. Express your answers using only positive exponents. </p><p><code class='latex inline'> \displaystyle (m^{\frac{1}{3}})(m^{\frac{3}{4}}) </code></p>
<p>Simplify. Express your answers using only positive exponents.</p><p> <code class='latex inline'> \displaystyle \frac{p^{-\frac{2}{3}}}{p^{\frac{5}{6}}} </code></p>
<p>Simplify using the laws of exponents.</p><p><code class='latex inline'>\displaystyle [(x^{-4})^{\frac{1}{5}}]^{\frac{1}{6}} </code></p>
<p>Find the value of <code class='latex inline'>\displaystyle 4^{-\frac{1}{2}} </code>.</p>
<p>Simplify. Express your answers using only positive exponents. </p><p><code class='latex inline'> \displaystyle (y^\frac{2}{3})^{-3} </code></p>
<p>Simplify. Express your answers using only positive exponents. </p><p> <code class='latex inline'> \displaystyle 5(7y^{-\frac{2}{3}})^{-2} </code></p>
<p>Write as a single power, then evaluate. Express answers in rational form.</p><p><code class='latex inline'> \displaystyle \frac{64^{\frac{4}{3}}}{64} </code></p>
<p>Simplify. Express your answers using only positive exponents. </p><p><code class='latex inline'> \displaystyle (u^{\frac{3}{4}}v^{\frac{1}{2}})^{\frac{2}{9}} </code></p>
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