Algebra - Lesson Negative Exponents | Mathematics

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Algebra - Lesson Negative Exponents

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12th grade

Mathematics

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Scott Madeoy

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Slide 1
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Algebra - Lesson Negative Exponents
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Slide 2
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Question 3
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Q.
Rewrite using a positive exponent.

$g^{-7}$
answer choices
$\frac{1}{g^7}$
$g^7$
$\frac{1}{g^{-7}}$
$-g^7$
 <math><semantics><mrow><mfrac><mn>1</mn><msup><mi>g</mi><mn>7</mn></msup></mfrac></mrow><annotation encoding="application/x-tex">\frac{1}{g^7}</annotation></semantics></math>g71 
alternatives
 <math><semantics><mrow><msup><mi>g</mi><mn>7</mn></msup></mrow><annotation encoding="application/x-tex">g^7</annotation></semantics></math>g7 
 <math><semantics><mrow><mfrac><mn>1</mn><msup><mi>g</mi><mrow><mo>−</mo><mn>7</mn></mrow></msup></mfrac></mrow><annotation encoding="application/x-tex">\frac{1}{g^{-7}}</annotation></semantics></math>g−71 
 <math><semantics><mrow><mo>−</mo><msup><mi>g</mi><mn>7</mn></msup></mrow><annotation encoding="application/x-tex">-g^7</annotation></semantics></math>−g7 
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Slide 4
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Question 5
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Q.
Rewrite using a positive exponent.

$\frac{1}{g^{-7}}$
answer choices
$\frac{1}{g^7}$
$g^7$
$\frac{1}{g^{-7}}$
$-g^7$
 <math><semantics><mrow><mfrac><mn>1</mn><msup><mi>g</mi><mn>7</mn></msup></mfrac></mrow><annotation encoding="application/x-tex">\frac{1}{g^7}</annotation></semantics></math>g71 
alternatives
 <math><semantics><mrow><msup><mi>g</mi><mn>7</mn></msup></mrow><annotation encoding="application/x-tex">g^7</annotation></semantics></math>g7 
 <math><semantics><mrow><mfrac><mn>1</mn><msup><mi>g</mi><mrow><mo>−</mo><mn>7</mn></mrow></msup></mfrac></mrow><annotation encoding="application/x-tex">\frac{1}{g^{-7}}</annotation></semantics></math>g−71 
 <math><semantics><mrow><mo>−</mo><msup><mi>g</mi><mn>7</mn></msup></mrow><annotation encoding="application/x-tex">-g^7</annotation></semantics></math>−g7 
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Slide 6
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Question 7
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Q.
Rewrite using a positive exponent.

$5g^{-7}$
answer choices
$\frac{5}{g^7}$
$5g^7$
$\frac{5}{g^{-7}}$
$\frac{1}{5g^7}$
 <math><semantics><mrow><mfrac><mn>5</mn><msup><mi>g</mi><mn>7</mn></msup></mfrac></mrow><annotation encoding="application/x-tex">\frac{5}{g^7}</annotation></semantics></math>g75 
alternatives
 <math><semantics><mrow><mn>5</mn><msup><mi>g</mi><mn>7</mn></msup></mrow><annotation encoding="application/x-tex">5g^7</annotation></semantics></math>5g7 
 <math><semantics><mrow><mfrac><mn>5</mn><msup><mi>g</mi><mrow><mo>−</mo><mn>7</mn></mrow></msup></mfrac></mrow><annotation encoding="application/x-tex">\frac{5}{g^{-7}}</annotation></semantics></math>g−75 
 <math><semantics><mrow><mfrac><mn>1</mn><mrow><mn>5</mn><msup><mi>g</mi><mn>7</mn></msup></mrow></mfrac></mrow><annotation encoding="application/x-tex">\frac{1}{5g^7}</annotation></semantics></math>5g71 
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Slide 8
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Question 9
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Q.
Rewrite using a positive exponent.

$5g^{-7}km$
answer choices
$\frac{5km}{g^7}$
$5g^7km$
$\frac{5}{g^{-7}km}$
$\frac{1}{5g^7km}$
 <math><semantics><mrow><mfrac><mrow><mn>5</mn><mi>k</mi><mi>m</mi></mrow><msup><mi>g</mi><mn>7</mn></msup></mfrac></mrow><annotation encoding="application/x-tex">\frac{5km}{g^7}</annotation></semantics></math>g75km 
alternatives
 <math><semantics><mrow><mn>5</mn><msup><mi>g</mi><mn>7</mn></msup><mi>k</mi><mi>m</mi></mrow><annotation encoding="application/x-tex">5g^7km</annotation></semantics></math>5g7km 
 <math><semantics><mrow><mfrac><mn>5</mn><mrow><msup><mi>g</mi><mrow><mo>−</mo><mn>7</mn></mrow></msup><mi>k</mi><mi>m</mi></mrow></mfrac></mrow><annotation encoding="application/x-tex">\frac{5}{g^{-7}km}</annotation></semantics></math>g−7km5 
 <math><semantics><mrow><mfrac><mn>1</mn><mrow><mn>5</mn><msup><mi>g</mi><mn>7</mn></msup><mi>k</mi><mi>m</mi></mrow></mfrac></mrow><annotation encoding="application/x-tex">\frac{1}{5g^7km}</annotation></semantics></math>5g7km1 
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Slide 10
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Question 11
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Q.
Rewrite with the variable having a negative exponent.

$\frac{6}{g^{-2}}$
answer choices
$6g^2$
$6g^{-2}$
$\frac{6}{g^2}$
$\frac{1}{6g^2}$
 <math><semantics><mrow><mn>6</mn><msup><mi>g</mi><mn>2</mn></msup></mrow><annotation encoding="application/x-tex">6g^2</annotation></semantics></math>6g2 
alternatives
 <math><semantics><mrow><mn>6</mn><msup><mi>g</mi><mrow><mo>−</mo><mn>2</mn></mrow></msup></mrow><annotation encoding="application/x-tex">6g^{-2}</annotation></semantics></math>6g−2 
 <math><semantics><mrow><mfrac><mn>6</mn><msup><mi>g</mi><mn>2</mn></msup></mfrac></mrow><annotation encoding="application/x-tex">\frac{6}{g^2}</annotation></semantics></math>g26 
 <math><semantics><mrow><mfrac><mn>1</mn><mrow><mn>6</mn><msup><mi>g</mi><mn>2</mn></msup></mrow></mfrac></mrow><annotation encoding="application/x-tex">\frac{1}{6g^2}</annotation></semantics></math>6g21 
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