This past week we've recently learned about exponents. There are many different steps you must follow in order to correctly solve these problems.
Steps:
b^x * b^y = b^ x + y
b^x / b^y = b^ x-y
any number raised to the 0 = 1
(ab)^x = a^x b^x
(a/b)^x = a^x/b^x
(b^x) ^y = b^xy
nth root of a = a^1/n
nth root of a^y = a^y/n
x^-n = 1/x^n
a * b^x = cant simplify (pemdas)
(-a)^2 = positive number
-a^2 = negative number
EX 1
(-4)^-2 = ?
Since the 4 is in parentheses, the number will be positive.
Because the number is raised to a negative exponent, you would take the reciprocal of 4^2, which is 1/16
Your answer is 1/16.
EX 2
(3n^2) ^-1 (3n^2) ^7 = ?
3 ^ -1+ 3 ^ 7= 3^6
n^-2+14= n^12
Your answer is 3^6n^12
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