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How can you tell if an exponential function is exponential growth or decay by looking at its base?
It is not enough to look at the base. This is because a^x is the same as (1/a)^-x : the key is therefore a combination of the base and the sign of the exponent.0 < base < 1, exponent < 0 : growth0 < base < 1, exponent > 0 : decaybase > 1, exponent < 0 : decaybase > 1, exponent > 0 : growth.
What does 6 with an exponent of 0 equal?
Any number with an exponent of zero is equal to one. 60 = 1
What does the exponent any number to the 0 power equal?
Any number^0 = 1
How do you multiply a base of 34 and a exponent of 0?
Well, sweetheart, when you have a base raised to the power of 0, the result is always 1. So, in this case, if you have 34 as the base and 0 as the exponent, you simply get 1. That's just how the math cookie crumbles, darling.
How do you find GCF with variables and exponents?
For each variable, find the smallest exponent in all the expressions. If the variable does not appear in one of the expressions, it's exponent may be taken as 0. Also, remember that if a variable seems to be without an exponent, its exponent is actually 1 (that is x is the same as x1). For example, GCF(a3bc, a2c3, a3b2c3) = a2c. Exponents of a are 3, 2 and 3: smallest = 2 Exponents of b are 1, 0 and 2: smallest = 0 Exponents of c are 1, 3 and 3: smallest = 1 The same rules apply for fractional exponents.
