one exponent the a base value indicates the number of times the base value is to it is in multiplied times itself.
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Exponents represent mathematical shorthand for multiplication. numbers expressed making use of exponents are dubbed "powers". Older calculators and computers often use the operator ^ to stand for an exponent.
Naming: 24 is review "two increased to the fourth power" or just "two come the 4th".
Exponents the 2 and 3 have certain designations: 22 is review "two squared" and 23 is check out "two cubed".
Units: When applying an exponent to a value with labeled units, be certain to likewise apply the exponent come the units:
To apply an exponent come a base worth which is negative, the base value should be attached in a set of parentheses: (-4)2 = (-4) • (-4) = 16. The exponent then applies to the entire collection of parentheses come which that is attached. But, if the base worth is not enclosed in parentheses, the exponent applies only to the number to which the is attached. It does not use to the an unfavorable sign: -42 = -(4) • (4) = -16. Think that the an adverse sign as a multiple of (-1): -42 = (-1) • (42 ) = (-1) • (4) • (4) = -16. Or as the "opposite" that 42. (-4)2 is "negative 4 amount squared". -42 is "negative that 4 squared" or "opposite that 42 ".
Exponent the 1: A value elevated to one exponent the "one" is equal to itself. The exponent that one says the number of times the base is multiplied by itself. Since the basic is the only variable (occurs once) in the multiplication, it equals itself.
|51 = 5||(-3)1 = -3||(ab)1 = ab||(x + 4)1 = x + 4|
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