Posted by kate on Monday, November 19, 2007 at 7:29pm.
i need help to simplify with positive exponents only.
(b^2)^6/b^4

algebra  Michael, Monday, November 19, 2007 at 7:33pm
Is it (b^2)^(6) all over b^(4)?

algebra  kate, Monday, November 19, 2007 at 7:39pm
yes

algebra  Michael, Monday, November 19, 2007 at 7:43pm
When we have a power raised to another power, we multiply the powers.
(b^2)^(6) = b^(12)
Our problem is now b^(12) over b^(4).
Since the variable is the same, the variable with the largest power "wins."
If we have b^5 over b^2, that simplifies to b^3. We subtract the losing power (2) from the winning power (5).
In our case, the winning power is 4 because it is larger than 12. We subtract the loser from the winner: 4  (12) = 4 + 12 = 8.
We now have b^(8). To rewrite it with positive exponents only, we simply negate the power and flip it. 1 / b^8 is the final answer.
We can check this. Let b = 3.
(3^2)^(6) / 3^(4)
9^(6) / 3^(4)
Use your calculator.
1.52 x 10^(4)
1 / 3^8 is the same thing, so our answer is correct.
Answer This Question
Related Questions
 I NEED HELP (ALGEBRA)  Simplify the expression. Write your answer using only ...
 Math(Please help)  Simplify each expression. Assume all variables are positive...
 algebra  Can some kind soul please assist me with this question? :) Simplify ...
 algebra  simplify plz (y^7/z^3)= use positive exponents only
 algebra  Simplify, using only positive exponents in your answer. x^4+y^4/x^3...
 Algebra  Simplify. Write the answer using positive exponents only. (x^5y^6/a...
 college algebra  simplify. express answer with positive exponents only. (2x^...
 math  Use the properties of exponents to rewrite each expression so that it ...
 algebra  simplify and express the answer using positive exponents only m8m14
 college algebra  (x^2/3)^7/2 simplify and express answer using positive ...
More Related Questions