Exponent Rules
Basic Properties
Radical Expressions
+/- Radical Expressions
Mult/Div Radical Expressions
100
What is the exponent rule for multiplication of same bases?
Same bases you add exponents.
100
x^5 • x^7
x^12
100
Simplify radical 48
4 radical 3
100
3√2+9√2
12√2
100
(3√8)(2√6)
24√3
200
What is the zero exponent rule?
Any number raised to the zero power is equal to 1.
200
(6a^2 b)(−3ab^3)
−18a^3b^4
200
Simplify 8radical12
16 radical 3
200
6√3+√5+8√3−3√5
-2√5+14√3
200
(3√5a)(2a√5a)
30a2√3a
300
What is the negative rule of exponents?
When an exponent is negative you take that number and move it to the denominator or the numerator depending on where it started.
300
(x^2 y^2 z^−1)^3 (xyz^4)(x^3y)
x^11y^8z
300
Simplify radical 45y^5
3y^2radical 5y
300
8√3−√12+3√3
9√3
300
16 cube root of√8x^11 divided by 8 cube root of √x^2
4x^3
400
What is the rule for dividing exponents?
When dividing same bases you subtract exponents.
400
. (2x^−2/3)(3x/4)^2
3/8
400
Whatt is the cube root of 40x^4
2x cube root 5x
400
√18+√8+√32
9√2
400
If l=3√3; w=2√2, and h=5√10, what is the volume of the rectangular prism? Is the volume rational or irrational?
60√15 cubic units; irrational
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