Multiplying
x^3*x^6
x^9
4^5/4^2
4^3
(2^3)^4
2^12
Evaluate
54^1
54
What is the Base and what is the Exponent the following expression?
8^4
Base: 8
Exponent: 4
6^12*6^8
6^20
x^7/x^3
x^4
(d^2)^4
d^8
(2^3*4^4)^0
1
Any number (except 0) to the power of 0 is 1.
What is the rule when Multiplying like bases?
for example:
2^5*2^3
What is the rule when Dividing like bases?
for example:
(5^7)/5^4
What is the rule when Take the Power of a Power with like bases?
for example:
(4^3)^2
Keep the base, ADD the exponents.
Keep the base, SUBTRACT the exponents
Keep the base, MULTIPLY the exponents
2x^5*4x^7
8x^12
(24y^10)/(4y^3)
6y^7
(3b^4)^3
27b^12
OR
3^3b^12
Simplify with Positive Exponents
(a^-5)/(a^-3)
1/(a^2)
Write the following expression in Exponential, Expanded and Evaluated Forms:
Negative 5 to the power of 4
Exponential
(-5)^4
Expanded
(-5)(-5)(-5)(-5)
Evaluated
625
(4f^8m^3)(4f^4m^2)
16f^12m^5
(-30x^5y^9)/(5x^4y)
-6xy^8
(-4w^5xy^2)^4
256w^20x^4y^8
OR
(-4)^4w^20x^4y^8
Simplify with positive exponents
(21x^-4y^2)/(7x^2y^-4)
(3y^6)/x^6
What does any number to the zero power equal?
What does any number to the 1st power equal?
1
Itself
(7s^5p^3)(3s^6p^-5)
(21s^11)/p^2
21s^11p^-2
Not Fully Simplified
(20m^4x^3)/(2m^8x)
(10x^2)/m^4x
10m^-4x^2
Not Fully Simplified
(7a^10b^4)^-2
1/(49a^20b^8)
OR
7^-2a^-20b^-8
Write the following expression with positive exponents
(x^5y^-3)/(b^-2z^4)
(x^5b^2)/(y^3z^4)
Simplify
((y^-2)/3)^3
1/(3^3y^6
OR
1/(27y^6)