Exponent Terms
This is the word that we use to describe the number being multiplied by itself that an exponent is attached to.
What is a base?
4^2 · 4^3
4^5
2^4/2^2
2^2
2^-1
1/2
(2^3)^4
2^12
When a number is to the 2nd or 3rd power, we use these two words respectively to describe it.
What is squared and cubed?
7^2· 7
7^3
5^4/5
5^3
7^-2
1/7^2 or
1/49
(7^9)^8
7^72
Any number to the zero power will always be this.
What is 1?
2x^4 · 5x^4
10x^8
2^2/2^3
2^-1 or 1/2
4^3 · 4^-2
4^1 or
4
(x^2)^3 · x^5
x^11
Any number to this power will always be the number itself.
What is the 1st power.
9xy^2 · 9x^2y^3
81x^3y^5
(6x^3)/(2x^2)
3x
3a^-5
3/a^5
(4^3)^2 · (4^2)^2
4^10
-5^2 vs (-5)^2 --- which one is negative and why?
-5^2 --- because the power only applies to the 5, not the negative sign before it.
7v^3 · 10u^3v^5 · 8uv^3
560u^4v^11
(14x^5y^3)/(7x^3y)
2x^2y^2
(8x)^(-2)
1/(8x)^2 or
1/(64x^2)
2x^-4 · x^2
2/x^2