Exponent Rules
What is the exponent rule for multiplication of same bases?
i.e. - x4 * x5
Same bases you add exponents.
x9
x^5 • x^7
x^12
Simplify √48
4√3
3√2+9√2
12√2
(3√8)(2√6)
24√3
What is the zero exponent rule?
i.e. - x0
Any number raised to the zero power is equal to 1.
(6a^2 b)(−3ab^3)
−18a^3b^4
Simplify 8√12
16√3
6√3+√5+8√3−3√5
-2√5+14√3
(3√5)(2√5)
30
What is the negative rule of exponents?
x-3 or 1/x-4
When an exponent is negative you take that number and move it to the denominator or the numerator depending on where it started.
(x^2 y^2 z^−1)^3 (xyz^4)(x^3y)
x^11y^8z
Simplify √45
3√5
8√3−√12+3√3
9√3
(16√80) / (8√2)
4√10
What is the rule for dividing exponents?
x20/x5
When dividing same bases you subtract exponents.
x15
(2x^−2 / 3)(3x / 4)^2
3/8
What is the cube root of 40 rounded to the nearest tenth?
3.4
√18+√8+√32
9√2
If l=3√3; w=2√2, and h=5√10, what is the volume of the rectangular prism?
60√15 cubic units