Use Properties of Integers and Exponents

Presentation

•

Mathematics

•

8th Grade

•

Hard

Joseph Anderson

FREE Resource

5 Slides • 10 Questions

Properties of Integer Exponents

by Kourtney Garner

Product of Powers Property

When multiplying two powers with the same base we add the exponents

a^m x aⁿ = a^m+n

a^m(aⁿ) = a^m+n

Multiple Choice

When multiplying two powers with the same base we _______

add the bases

add the exponents

multiply the bases

multiply the exponents

Multiple Choice

$5\left(5^3\right)$

What are the two exponents in the problem above

5 and 3

0 and 5

1 and 3

1 and 5

Multiple Choice

Simplify the expression $5\left(5^3\right)$

$5^4$

$5^3$

$5^2$

Zero Exponent Property

Any number raised to the zero power is 1.

a⁰= 1

Poll

Select ALL the expressions below that will simplify to 1

$\left(-5\right)^0$

$\left(-3.6^0\right)$

$-\ \left(4^0\right)$

$-\left(7.42^0\right)$

Multiple Choice

True or False: $b^0=1\$

True

False

Fill in the Blanks

Any number raised to the zero power is

Type answer...

Quotient of Power Property

When dividing eponential expressions with the same base we subtract the exponents

Multiple Choice

When dividing two exponential expressions with the same base you should ____________ the exponents

add

subtract

multiply

divide

Multiple Choice

Rewrite $5\left(\frac{1}{5^3}\right)$ as a division sentence

$\frac{5}{5^3}$

$\frac{5}{5^{-3}}$

Cannot be done

Multiple Choice

Simplify $5\left(\frac{1}{5^3}\right)$

$5^{-2}$

$5^2$

Negative Exponent Property

The negative exponent becomes positive once it is moved

Multiple Choice

Rewrite $5^{-3}$ with a positive exponent.

$\frac{1}{5^3}$

$5^3$

Properties of Integer Exponents

by Kourtney Garner

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