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hey, can anyone explain negative integral exponents to me with examples? will really appreciate your help! ​

Answer» <html><body><p><strong><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a>:</strong></p><p></p><p>Definition for negative exponents</p><p>We define a negative <a href="https://interviewquestions.tuteehub.com/tag/power-2475" style="font-weight:bold;" target="_blank" title="Click to know more about POWER">POWER</a> as the <a href="https://interviewquestions.tuteehub.com/tag/multiplicative-2849047" style="font-weight:bold;" target="_blank" title="Click to know more about MULTIPLICATIVE">MULTIPLICATIVE</a> <a href="https://interviewquestions.tuteehub.com/tag/inverse-1050621" style="font-weight:bold;" target="_blank" title="Click to know more about INVERSE">INVERSE</a> of the base raised to the positive opposite of the power:</p><p>x^{-n}=\dfrac{1}{x^n}x </p><p>−n</p><p> = </p><p>x </p><p>n</p><p> </p><p>1</p><p></p><p> x, start superscript, minus, n, end superscript, equals, start fraction, 1, divided by, x, start superscript, n, end superscript, end fraction</p><p>Want to learn more about this definition? <a href="https://interviewquestions.tuteehub.com/tag/check-25817" style="font-weight:bold;" target="_blank" title="Click to know more about CHECK">CHECK</a> out this video.</p><p>Examples</p><p>3^{-5}=\dfrac{1}{3^5}3 </p><p>−5</p><p> = </p><p>3 </p><p>5</p><p> </p><p>1</p><p></p><p> 3, start superscript, minus, 5, end superscript, equals, start fraction, 1, divided by, 3, start superscript, 5, end superscript, end fraction</p><p>\dfrac{1}{2^8}=2^{-8} </p><p>2 </p><p>8</p><p> </p><p>1</p><p></p><p> =2 </p><p>−8</p><p> start fraction, 1, divided by, 2, start superscript, 8, end superscript, end fraction, equals, 2, start superscript, minus, 8, end superscript</p><p>y^{-2}=\dfrac{1}{y^{2}}y </p><p>−2</p><p> = </p><p>y </p><p>2</p><p> </p><p>1</p><p></p><p> y, start superscript, minus, 2, end superscript, equals, start fraction, 1, divided by, y, squared, end fraction</p><p>\left(\dfrac{8}{6}\right)^{-3}=\left(\dfrac{6}{8}\right)^{3}( </p><p>6</p><p>8</p><p></p><p> ) </p><p>−3</p><p> =( </p><p>8</p><p>6</p><p></p><p> ) </p><p>3</p></body></html>


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