Show:
The Product Property
The Quotient Property
The Power Property
Negative Exponents
Solving for X in the Exponent
100

Keeping your answer in positive exponents, simplify:

y^(3) * 7y^3


7y^6

100

Keeping your answer in positive exponents, simplify:

(x^8)/(x^7)

x

100

Keeping your answer in positive exponents, simplify: 

(a^3)^4


a^12

100

Keeping your answer in positive exponents, simplify:

4p^-3


(4)/(p^3)

100

Solve: 

4^(x+2)=4^(2x-3)

x=5

200

Keeping your answer in positive exponents, simplify:

3^(4) * 3^2 * 3^0


3^6 = 729

200

Keeping your answer in positive exponents, simplify:

(-v)/(-2v^3)


(1)/(2v^2)

200

Keeping your answer in positive exponents, simplify:

(3k^3)^2


9k^6

200

Keeping your answer in positive exponents, simplify:

-6m^-5


-(6)/m^5

200

Solve.

7^(3x-6)=7^(6-3x)

x=2

300

Keeping your answer in positive exponents, simplify:

5x^(2)y^7 * -2x^(3) y


-10x^5 y^8

300

Keeping your answer in positive exponents, simplify:

(56m^0n^4)/(7mn)^0


56n^4

300

Keeping your answer in positive exponents, simplify:

(-2n^2)^3


-8n^6

300

Keeping your answer in positive exponents, simplify:

-4m^-1n


-(4n)/(m)

300

Solve

4^(x-4)=2^(5x+1)

x=-3
400

Keeping your answer in positive exponents, simplify:

2x^(2) * -4x^(4)y^4


-8x^(6)y^4

400

Keeping your answer in positive exponents, simplify:

(8x^(4)y^(2))/(-8x^(3)y^(3))


-(x)/(y)

400

Keeping your answer in positive exponents, simplify:

7x^0 * (7x)^0


7

400

Keeping your answer in positive exponents, simplify:

5x^(-3)y^4


(5y^4)/(x^3)

400

Solve

5^(4x-8)=125^(2x)

x=-4
500

Keeping your answer in positive exponents, simplify:

3x^(3) * -2xy^(4) * 4y


-24x^(4)y^(5)

500

Keeping your answer in positive exponents, simplify:

(4x^(2)y^(2))/(-2x^(4)y^(2))


-(2)/(x^2)

500

Keeping your answer in positive exponents, simplify:

(-3x^(3)y^(3))^4


(-3)^(4)x^(12)y^(12) = 81x^12y^12

500

Keeping your answer in positive exponents, simplify:

(3x^3)/y^-6


3x^(3)y^(6)

500

Solve: 

4^(2x+1)=8^(2x-1)

x=5/2 or 2.5