Exponent Rules
More Exponent Rules!
Exponent Rules
Rewriting Exponents
Evaluating Exponents
Final Jeopardy
100
a3•a5
a8
100
5^6/5^6
1
100
10•104•102
107
100
Rewrite this with a single positive exponent: 2-5
1/2^5
100
64^(2/3)
16
100
25 Dollars
200
2^7/2
26
200
(75)2
710
200
2^13/2^5
28
200
Rewrite this with a negative exponent:
1/4^2
4-2
200
4^(5/2)
32
300
Simplify the following expression:
(b^4)^2
b^8
300
((35)0)-3
1
300
(2^2*2^5)/(2^4)
23
300
Write as an expression with a rational exponent
root(3)((x)^2)
x^(2/3)
300
-125^(4/3)
625
400
5^4*5^-3
5
400
(4^3*4^2)^2
410
400
Simplify the following expression:
(5b^4c)^2
25b^8c^2
400
Write as an expression with a rational exponent.
root(7)(x^10)
x^(10/7)
400
-27^(5/3)
-243
500
Simplify the following expression:
(3a^4b)(6a^5b)
18a^9b^2
500
Simplify the following expression. Use only positive exponents in your final answer.
(-2b^-5k)^3
-(8k^3)/b^15
500
Diego solved the problem below. Where did he make a mistake at and what is the correct problem?
3^8/3^2=3^4
Diego should have divided the exponents but subtracted them. The correct answer is 36.
500
3^-8*3^3
Write the answer with a positive exponent.
1/3^5
500
(64/125)^(-2/3)
25/16