Students know what it means for a number to be raised to a power and how to represent the repeated multiplication symbolically.
Students know the reason for some bases requiring parentheses.
Without solving, what is another way to rewrite:
3 + 3 + 3 + 3 + 3 =
How would we rewrite:
3 × 3 × 3 × 3 × 3 =
56 means 5 × 5 × 5 × 5 × 5 × 5
You have seen this kind of notation before, it is called exponential notation. In general, for any number x and any positive integer n,
xn = (x • x • • • x) n timesThe number xn is called x raised to the n-th power, n is the exponent of in xn and x is the base of xn.
The number xn is called x raised to the n-th power, n is the exponent of x in xn and x is the base of xn.
x2 is called the square of x, and x3 is its cube.
You have seen this kind of notation before when you gave the expanded form of a whole number for powers of 10, it is called exponential notation.
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