Negative Exponents Summary Lesson

4 Slides • 4 Questions

1

Negative Exponents Summary

Move upstairs or downstairs to turn an exponent positive!

2

Simplify:

\frac{3a^{-2}b}{6a^5b^{-2}}

Create 3 mini problems

3

$\frac{3}{6}=\frac{1}{2}$

\frac{a^{-2}}{a^5}=\frac{1}{a^5a^2}=\frac{1}{a^7}

\frac{b}{b^{-2}}=b\times b^2=b^3

4

Now put it all together:

$\frac{1}{2}\times\frac{1}{a^7}\times b^3=\frac{b^3}{2a^7}$

5

Multiple Choice

Simplify the expression so that there are no negative exponents in your final answer.

$a^{-14}\cdot b^{17}\cdot a^8$

1

$a^{22}b^{17}$

2

$\frac{a^6}{b^{17}}$

3

$a^6b^{17}$

4

$\frac{b^{17}}{a^6}$

6

Multiple Choice

Simplify the expression so that there are no negative exponents in your final answer.

$\frac{7d^{-9}}{d^3}$

1

$\frac{1}{7d^{12}}$

2

$\frac{7}{d^{12}}$

3

$\frac{1}{7d^6}$

4

$7d^6$

7

Multiple Choice

Simplify the expression so that it contains only positive exponents.

1

2

3

4

8

Multiple Choice

Simplify.

1

y⁶⁰

2

¹/_y¹⁶

3

y^-16

4

y⁴

Negative Exponents Summary

Move upstairs or downstairs to turn an exponent positive!

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