PEMDAS
Using PEMDAS
Proportions
Exponents Rules
Simplifying Exponents
100

P

Parentheses.

100

4(2x -7) +4 = 40

x = 8
100

What kind of numbers are proportions?

fractions or ratios

100

Is the product rule for multiplying or raising something to another exponent?

multiplying

100

5^4 * 5^-3

5

200

E

Exponents

200

-5 * 3 +8 +(2-(-4)) / (-2)

-10
200

what is the name of the method used to solve proportions?

the butterfly method or cross multiplication.

200

What happens when you raise anything to the 0 power?

it equals 1.

200

(x^6)^12

x^72

300

MD

Multiplication and Division, do first reading left to right

300

8 - 3 + (-4)^2 / 8 - 7

0

300

14/3 = x /21


x = 98

300

When using the quotient rule what do you do to the exponents?

subtract.

300

(5x^2y^3)(2x^6y)

10x^8y^4

400

AS

Addition and subtraction, do first reading left to right

400

-48 / -6 + 5 - (-3) *5 

28

400
If a car travels 150 miles in 3 hours, how many miles can it travel in 5 hours?

250 miles

400

Negative exponents can be turned positive by...

moving them to the opposite side of the fraction (flipping the fraction)

400

(7x^3y^2) / (21xy^4)

x^2 / (3y^2)

500

What is PEMDAS an acronym for

the order of operations

500

-2(-3-7) + 5 *4 / -2

10

500
A grocery store sells a bag of 7 oranges for $3.01. How much would it cost for 9 oranges?

$3.87

500

When raising a power to a power what do you do with the exponents?

multiply

500

(9x^5y^2)^3

729x^15y^6