Evaluating Algebraic Expressions with Exponents | Math with Mr. J

Welcome to Evaluating Algebraic Expressions with Exponents with Mr. J! Need help with evaluating algebraic expressions? You're in the right place!

Whether you're just starting out, or need a quick refresher, this is the video for you if you're looking for help with how to evaluate algebraic expressions. Mr. J will go through examples of evaluating algebraic expressions with exponents and explain the steps of how to evaluate an algebraic expression using substitution.

MORE VIDEOS ON ALGEBRAIC EXPRESSIONS:

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Hopefully this video is what you're looking for when it comes to evaluating algebraic expressions with exponents.

Have a great rest of your day and thanks again for watching! ✌️✌️✌️

✅ Thanks to Aloud, this video has been dubbed into Spanish and Portuguese. #DubbedWithAloud

English

Spanish

Portuguese

[MathwithMrJ]

✅ More algebraic expression videos in the description!
✅ Thanks so much for watching! ✌✌✌

[morenita]

Im confused on #2 x³-5x+25, why did you subtract 27-15 1st? If we follow pemdas, shouldn't we add 15+24 first. I know this will give you a negative number, but you lost me there.

[lynx.]

Thank u so much mr J, i had sick for 2 days and didnt attend school. But with your videos, it sure did explain everything on me. I appreciate your help alot. ☺️

[zeekieedwards]

Thank you so much math with Mr. j you have helped me understand a lot of math since 4th grade till now 6th grade. Thank you

[berrybears]

I am studying for a test and you really helped me

[mdb]

Amazing all of your videos are helping out my daughter in math when we moved. Keep doing amazing things Mr.j!😌🤓😺

[willw]

Today I have an exam and you posted while I am sleeping so rn is like morning and I am watching this! Tyy

[ur.fav.trinity]

Tysmm! Your literally so much more help then my math teacher. 🙏🏼🙏🏼

[mandolorianjax]

Thanks really needed this... I am studying for an exam

[RizeCaliore]

Thannk youu so much, this video helps me understand our lesson a

[Luvxqx]

In the expression
a
m
, the exponent tells us how many times we use the base
a
as a factor.

On the left side, 7 to the 3rd power is shown. Below is 7 times 7 times 7, with 3 factors written below. On the right side, parentheses negative 8 to the 5th power is shown. Below is negative 8 times negative 8 times negative 8 times negative 8 times negative 8, with 5 factors written below.
10
3
is read as “
10
to the third power” or “
10
cubed.” It means
10
⋅
10
⋅
10
, or
1
,
000
.

8
2
is read as “
8
to the second power” or “
8
squared.” It means
8
⋅
8
, or
64
.

5
4
is read as “
5
to the fourth power.” It means
5
⋅
5
⋅
5
⋅
5
, or
625
.

b
5
is read as “b to the fifth power.” It means
b
⋅
b
⋅
b
⋅
b
⋅
b
. Its value will depend on the value of b.

The exponent applies only to the number that it is next to. Therefore, in the expression
x
y
4
, only the
y
is affected by the
4
.
x
y
4
means
x
⋅
y
⋅
y
⋅
y
⋅
y
.

If the exponential expression is negative, such as
−
3
4
, it means
–
(
3
⋅
3
⋅
3
⋅
3
)
or
−
81
.

If
−
3
is to be the base, it must be written as
(
−
3
)
4
, which means
−
3
⋅
−
3
⋅
−
3
⋅
−
3
, or
81
.

Likewise,
(
−
x
)
4
=
(
−
x
)
⋅
(
−
x
)
⋅
(
−
x
)
⋅
(
−
x
)
=
x
4
, while
−
x
4
=
–
(
x
⋅
x
⋅
x
⋅
x
)
.

[chrissystewart]

Mr. J case this be on my GED test well just finishing celebrating my birthday🎂♊ June 6th, I celebrate the whole month of June. Now I'm ready to reverse back getting my GED let's focus your videos do help

[Existinglifeonearth]

Thanks Mr. J, I am very scared of telling my teacher I don’t understand and these video made me understand better

[UltimateEnemies]

My teacher: I’m going to explain how to do this in 30 minutes!

Mr. J: I’m going to explain how to do this in 4 minutes and 58 seconds!

Bro is more faster than my dad coming back with the milk.

[azrinafazeen]

Can i know why substraction came first but not addition?according to order of operations

[luikee]

And just when my teacher started teaching us this this semester!

[voiceofanguilla]

But with BODMAS ..addition comes before subtraction so why did you subtract first?

[albertodiezjr.]

Mr. J I thought that addition was the first one why did the subtraction came first?

[MasesiNtimbane]

Can u do this for me but u won't have time coz i have maths exam tomorrow 😢