Algebra review exponents
Introduction:
Algebraic exponent is a math function symbolized by `a^n ` ,
`a` is the base.
`b` is the exponent.
The exponent says the number of times the base must be multiplied by it self, Exponent is the part of algebra and they have defined properties, with the help of it we can simplify the given exponent expressions.
Now lets see the laws of algebraic exponents that helps you to revise algebraic exponents.
Rules in algebra Exponents:-
The following 6 are the rules that are used for solving exponents problems.
All kind of exponents calculations are performed only by using these laws..
Review problems:-
Review Problem 1
Simplify the algebra exponents 23 . 22
Solution:
We need to simplify the exponents 23 . 22
It comes under the first law of exponents.
am * an = a(m + n)
Here the base a = 2,
The exponent m = 3, n= 2
By plugging in the formula we get
= 2 (3+ 2)
= 2 5
Exponent value 2 5 = 64.
The final answer is 64.
Review Problem 2
Simplify the algebra exponents (22)3
Solution:
We need to simplify the exponents (22)3
It comes under the second law of exponents.
(am)n = amn
Here the base a = 2,
The exponent m = 2, n= 3
By applying it in the formula we get
=2 (2*3) = 2 6
= 128
The final answer is 128.
Review Problem 3
Simplify the algebra exponents {(2).(3)}4
Solution:
We need to simplify the exponents {(2).(3)}4
It comes under the third law of exponents.
(a * b)m = am bm
Here the base a = 2 and b = 3
The exponent m = 4
= 2 4.34
= 16 * 81
= 1296
The final answer is 1296.
Review Problem 4
Simplify the algebra exponents `3^6/ 3^5`
Solution:
We need to simplify the exponents `3^6/ 3^5`
It comes under the fourth law of exponents
`a^m/ a^n ` = am-n
Here a = 3, m = 6, n= 5.
By plugging in it to the formula we get the
= 36-5
=3 1
=3
The final answer is 3.
I like to share this Algebraic Expression with you all through my blog.
Algebraic exponent is a math function symbolized by `a^n ` ,
`a` is the base.
`b` is the exponent.
The exponent says the number of times the base must be multiplied by it self, Exponent is the part of algebra and they have defined properties, with the help of it we can simplify the given exponent expressions.
Now lets see the laws of algebraic exponents that helps you to revise algebraic exponents.
Rules in algebra Exponents:-
The following 6 are the rules that are used for solving exponents problems.
- am * an = a(m + n)
- ( am)n = am n
- (a b)m = am b m
- `a^m/ a^n` = am-n
- a0 = 1.
- a1 =a.
All kind of exponents calculations are performed only by using these laws..
Review problems:-
Review Problem 1
Simplify the algebra exponents 23 . 22
Solution:
We need to simplify the exponents 23 . 22
It comes under the first law of exponents.
am * an = a(m + n)
Here the base a = 2,
The exponent m = 3, n= 2
By plugging in the formula we get
= 2 (3+ 2)
= 2 5
Exponent value 2 5 = 64.
The final answer is 64.
Review Problem 2
Simplify the algebra exponents (22)3
Solution:
We need to simplify the exponents (22)3
It comes under the second law of exponents.
(am)n = amn
Here the base a = 2,
The exponent m = 2, n= 3
By applying it in the formula we get
=2 (2*3) = 2 6
= 128
The final answer is 128.
Review Problem 3
Simplify the algebra exponents {(2).(3)}4
Solution:
We need to simplify the exponents {(2).(3)}4
It comes under the third law of exponents.
(a * b)m = am bm
Here the base a = 2 and b = 3
The exponent m = 4
= 2 4.34
= 16 * 81
= 1296
The final answer is 1296.
Review Problem 4
Simplify the algebra exponents `3^6/ 3^5`
Solution:
We need to simplify the exponents `3^6/ 3^5`
It comes under the fourth law of exponents
`a^m/ a^n ` = am-n
Here a = 3, m = 6, n= 5.
By plugging in it to the formula we get the
= 36-5
=3 1
=3
The final answer is 3.
I like to share this Algebraic Expression with you all through my blog.