Product of Power
x^3*x^9*x^-6
x 6
(2x^5)/(8x^6)
1/(4x)
(4x^-4)^-2
x^8/16
x0
1
Some students were working on a problem and came to this conclusion -- what is the final answer
(a*a*a*b*b*b*b*b*c*d*d)/(a*a*a*a*b*b*c*d)
(b^3d^2)/a
3x^5(x^2)^5
3x^15
(2x^2)/(3x^3)*(3x^5)/(2x^-2)
x^6
5x^4y^2(x^2y^3)^4
5x^12y^14
Write the following with positive exponents
(2x^-3y^-1)/(x^-4)
(2x)/y
When multiplying exponent expressions what happens to the coefficients? What happens to the exponents?
You multiply the coefficients and you add the exponents
7^-8 * 7^6
1/7^2
3^0/5^0
1
(x^4)^-5
1/x^20
Are the 2 expressions equivalent?
(6x^-3)/(9y^-1)
(2y)/(3x^3)
yes
When dividing exponent expressions what happens to the coefficients? What happens to the exponents?
You divide the coefficients (simplify and keep in fraction form) and you subtract the exponents.
(12x^2y^-3z^2)*(1/4x^-2y^5z^8)
3y^2z^10
is equation 1 equivalent to equation 2 (if not what is it equivalent to?)
equation 1: 6x^3y^3
equation 2: (2x^3)(3y^-3)
No. It's equivalent to
6x^3/y^3
((4x^6y^4)/(12x^3y^6))^-1
(3y^2)/x^3
(15x^5y^-5)(1/5x^-4y^12)
3xy^7
When you raise an exponent expressions to a power happens to the coefficients? What happens to the exponents?
You raise the coefficient to the outside power and you multiply the exponents on the inside by the outside exponent.
(8r^5)(2r^-7)
16/r^2
Simplify (x^4x^3y^9)/(x^12y^3)
y^6/x^5
Simplify
(2x^-2)^3/(4x^3
2/x^9
500(-1200x)0
500
(x^2x^6y^20)/(x^11y^15)
y^5/x^3