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Suppose you have (x5)(x6); Just remember that you're counting factors.
x5 = (x)(x)(x)(x)(x) and x6 = (x)(x)(x)(x)(x)(x)
Now multiply them together:
(x5)(x6) = (x)(x)(x)(x)(x)(x)(x)(x)(x)(x)(x) = x11
Why x11? Well, how many x's are there? Five x factors from x5, and six x factors from x6, makes 11 x factors total.
Can you see that whenever you multiply any two powers of the same base, you end up with a number of factors equal to the total of the two powers? In other words, when the bases are the same, you find the new power by just adding the exponents:
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How do you solve a exponent?
Exponent is repeated multiplication
What shows repeated multiplication?
And exponent
What is A number that shows repeated multiplication?
a power or exponent.
What is an expression that represents repeated multiplication of the same factor?
exponent
What is a raised number that represents repeated multiplication of a factor?
an exponent
What is the rule for using variables and number with an exponent of 1?
An exponent of 1 can be ignored. In the same way that multiplication by 1 can be ignored.
How do you determine the exponent when rewriting an expression of repeated multiplication in exponential form?
The exponent for a factor is the number of times that the factor appras in the multiplication. An exponent of 1 is not usually written out. So, 2*2*2*3*3*3*3*5 = 23*34*5
Numbers written using exponents that represent repeated multiplication?
powers, or exponent
In math what does stand for?
Grouping Symbols, Exponent, Multiplication, Division, Addition, Subtraction
What does the order of operations stand for?
parenthesis, exponent, multiplication, division, addition, subtraction
When there are 2 exponent question what do you do to the exponents if the base is different?
the base and the laws of exponent
Why do you like laws of exponent?
Because it is derived so easily from simple multiplication and division of variables. It is so very intuitive. Multiply x by x and you have x2 do it again and it's cubed etc.
