Exponent Rules
Any Number to the power of ______ is 1
Zero
(3x)2
32x2
9x2(x^6)/(x^4)
X2
To combine exponents you must have _______ bases
like / same / equivalent
To make a negative exponent positive, the exponent must move _______ or _________
up or down
(7x3)4
74 x12
2401x12
(s^6y^2z^3)/(s^8yz^5)
y/(s^2z^2)
A _________ is a positive number, 0, or negative number placed above and to the right of a quantity.
Exponent
What would we complete first, power to a power or product rule
Power to a Power
(2x2y)3
23x6y3
8x6y3
(z^6t^2q^4)/(q^7t^3)
(z^6t)/(q^3)
Numbers raised to a power consist of 2 parts. The ______ which is the big number and an ________ the small number to the top right.
base, exponent
Before completing exponent rules we must first look for ________ __________
like terms/ same bases
((3x^2)/(4y^4))^2
(9x^4)/(16y^16)
(y^-8)/(y^2)
1/y^10
The form of writing an exponential expression in such a way that it shows the mathematical operation taking place
expanded form
When completing exponent rules you must always _________ the base
keep
((3x)/(2y))^-2
(4y^2)/(9x^2)
z^-4/z^-2
1/z^2
Exponents express the power to which the _____ is to be raised or lowered.
base
when simplifying exponential expressions, you do not stop until you have what 2 things complete?
One of each base, and all bases happy
((3y^0)/(y^-2))^2
3y^4
(8z^6y^3)^2/(y^7z^3)
(8z^9)/y
A problem with exponents is called _______
an exponential expression