Negative Exponents

Presentation

•

Mathematics

•

12th Grade

•

Practice Problem

•

Medium

•

CCSS

8.EE.A.1

Standards-aligned

Paul Sexton

Used 224+ times

FREE Resource

6 Slides • 14 Questions

Negative Exponents

Negative Exponents

Remember if an exponent is negative, you simply just: 1.) "change levels" and...
2.) make the the exponent positive.

For Example:
Simplify using only positive exponents.

- Notice how the exponent is positive now!

Multiple Choice

Simplify using only positive exponents: $5^{-8}$

$5^8$

$\frac{1}{5^8}$

$\frac{1}{5^{-8}}$

$-5^8$

Multiple Choice

Simplify using only positive exponents: $y^{-3}$

$3y$

$-y^3$

$\frac{1}{y^3}$

$\frac{1}{y^{-3}}$

Multiple Choice

Simplify using only positive exponents: $a^{-1}$

$a$

$-a$

$\frac{1}{a^{-1}}$

$\frac{1}{a}$

Negative Exponents

If the exponent is reduceable, reduce it!

For Example:
Simplify using only positive exponents.

- Since we know that 2² = 4, change it to 4!

Multiple Choice

Simplify using only positive exponents: $3^{-2}$

$-9$

$\frac{1}{-9}$

$\frac{1}{9}$

$\frac{1}{6}$

Multiple Choice

Simplify using only positive exponents: $2^{-3}$

$\frac{1}{8}$

$\frac{1}{-8}$

$-8$

$\frac{1}{6}$

Negative Exponents

Also, you only move the base that has a negative exponent attached to it.

For Example:

- The "a" is the only base with a negative exponent.

- So only move the "a" and not the "b".

Multiple Choice

Simplify using only positive exponents: $xy^{-3}$

$\frac{x}{y^3}$

$\frac{1}{xy^3}$

$\frac{x}{y^{-3}}$

$xy^3$

Multiple Choice

Simplify using only positive exponents: $a^{-2}b$

$-a^2b$

$\frac{b}{a^2}$

$\frac{1}{a^2b}$

$\frac{a^2}{b}$

Multiple Choice

Simplify using only positive exponents: $x^{-1}y^3$

$-xy^3$

$\frac{y^3}{x}$

$\frac{x}{y^3}$

$xy^3$

Negative Exponents

If the base with the negative exponent is on the bottom, then "change levels" by bringing it up:

For Example:

Move it up!

Multiple Choice

Simplify using only positive exponents: $\frac{1}{y^{-2}}$

$-2y$

$-y^2$

$y^2$

$y^{-2}$

Multiple Choice

Simplify using only positive exponents: $\frac{1}{a^{-1}}$

$a$

$-a$

$\frac{1}{a}$

$\frac{1}{-a}$

Negative Exponents

If there are more than one bases with negative exponents, move and switch levels for each of them.

For Example:

- Move the "x" and the "y" only!
- The "x" goes down and the "y" moves up.

- The "z" did not move as it didn't have a negative exponent.

Multiple Choice

SImplify using only positive exponents: $a^{-2}bc^{-1}$

$\frac{bc}{a^2}$

$-a^2bc$

$\frac{a^2b}{c}$

$\frac{b}{a^2c}$

Multiple Choice

SImplify using only positive exponents: $\frac{a^3b^{-2}}{c^{-5}}$

$\frac{a^3c^5}{b^2}$

$a^3b^2c^5$

$\frac{a^3}{b^2c^5}$

$\frac{b^2c^5}{a^3}$

Multiple Choice

SImplify using only positive exponents: $\frac{a^2}{b^{-3}c^{-8}}$

$\frac{b^3c^8}{a^2}$

$a^2b^3c^8$

$\frac{a^2b^3}{c^8}$

$\frac{c^8}{a^2b^3}$

Match

Match the following:

$\frac{a^{-3}b^{-5}}{c^{-1}}$

$\frac{a^3c^{-1}}{b^{-5}}$

$a^{-3}b^{-5}c^{-1}$

$\frac{a^3b^5}{c^{-1}}$

$\frac{1}{a^{-3}b^5c^{-1}}$

$\frac{c}{a^3b^5}$

$\frac{a^3b^5}{c}$

$\frac{1}{a^3b^5c}$

$a^3b^5c$

$\frac{a^3c}{b^5}$

Negative Exponents

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