Exponents

Presentation

•

Mathematics

•

8th Grade

•

Medium

•

CCSS

6.EE.A.1, 8.EE.A.1, 7.NS.A.1B

Standards-aligned

Aimee Norman

Used 29+ times

FREE Resource

8 Slides • 15 Questions

Exponents

Raised to the power of...

Exponent: A number that tells how many times a base is used as a factor.

Base: the number that is to be multiplied

Exponential form: when you write the number with a base and exponent

Multiple Choice

Which number is the EXPONENT?
4^{2 =}16

not here

Expanded form: When you show the base and the exponent as a multiplication problem

As you can see: exponents are just a way to show repeated multiplication

evaluate: a fancy math way of saying solve the problem

Multiple Choice

Which number is the BASE?
2³= 8

Multiple Choice

$2^5$

What is the correct equation to solve this problem?

2 x 5

2 x 2 x 2 x 2 x 2

Multiple Choice

Which is equivalent to 5 x 5 x 5 x 5

5³

5⁴

4⁵

5⁵

Multiple Choice

How do you use exponents to represent numbers?

repeated multiplication

repeated addition

repeated subtraction

repeated division

Dealing with negative numbers

ALWAYS use parenthesis to raise a negative number to a power

What the exponent touch is what is repeated

Multiple Choice

Which of the following is correct?

$-3^3=-3\cdot-3\cdot-3$

$\left(-3\right)^3=-3\cdot-3\cdot-3$

Multiple Choice

Which of the following is correct?

$-a^4=-\left(a\cdot a\cdot a\cdot a\right)$

$-a^4=-a\cdot-a\cdot-a\cdot-a$

$\left(-a\right)^4=-\left(a\cdot a\cdot a\cdot a\right)$

Math Response

Evaluate

$-3^2=$

Type answer here

Deg^°

Rad

Math Response

evaluate

$\left(-2\right)^4$

Type answer here

Deg^°

Rad

ANY number raised to the 0 (zero) power equals 1

Math Response

What is $2,304,459^0$ ?

Type answer here

Deg^°

Rad

Multiple Choice

Simplify (34x⁵y⁶z^-7)⁰

34x⁵y⁶ / z⁷

34x⁵y⁶ / x^-7

NEGATIVE EXPONENTS

Honors class only

"Fixing" negative exponents

Turn a negative exponent into a positive exponent by using the multiplicative inverse.

The number you would multiply the original by to make the product 1 (one)

Match

Match the following with their multiplicative inverse.

$4$

$-\frac{1}{2}$

$\frac{2}{5}$

$\frac{8}{7}$

$\frac{1}{4}$

-2

$\frac{5}{2}$

$\frac{1}{2}$

$\frac{7}{8}$

"Fixing" negative exponents

Multiple Choice

Write without negative exponent 2^-1

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

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

$-2^1$

$-\ \frac{1}{2^1}$

Multiple Choice

Rewrite using a positive exponent.
w^-13

-w¹³

¹/_w¹³

-¹/_w¹³

w¹³

Multiple Choice

Simplify the following expression:
xy^-7

$xy^7$

$\frac{x}{y^7}$

$\frac{x^7}{y}$

$x^7y$

Exponents

Raised to the power of...

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