Exponent Laws  (General & Adding)
When dealing with numbers or letters that have exponents we must know the specific, "laws of exponents." before performing the operation.
First, we must recognize the basic components of a number or letter with an exponent.
For Example,
A^{b}
A is the base and ^{b} is the power of the exponent.
The power of the exponent means, the amount of times the base multiplies itself by itself. For example,
3^{6} = 3 x 3 x 3 x 3 x 3 x 3
We must recognize some special exponent powers such as 0 & 1.
When the power of an exponent is 0 the entire expression is equal to 1.
3^{0} = 1
When the power of an exponent is 1 then the expression is equal to the base.
3^{1} = 3
Adding Numbers with Exponents:
When adding numbers with exponents, two steps are involved. First, we must solve for the expression of the exponent and then add the two results together.
For example"
3^{2} + 4^{4} + 3^{3} + 7^{2} + 6^{0} + 5^{1} = ?
STEP 1:
Find expressions of each exponent
9 + 256 + 27 + 49 + 1 + 5 = ?
STEP 2:
Add up all the expressions
= 347
