SOLUTION: 8 to power of 6 divided by 4 to the power of 3 x 2 to the power of 5

Algebra ->  Exponents -> SOLUTION: 8 to power of 6 divided by 4 to the power of 3 x 2 to the power of 5      Log On


   

Question 824703: 8 to power of 6 divided by 4 to the power of 3 x 2 to the power of 5
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%288%5E6%2F4%5E3%29+%2A+2%5E5
This problem is much easier if you recognize that the bases (8, 4 and 2) are all powers of 2. By rewriting the 8 as 2 cubed and the 4 as 2 squared we will get an expression that simplifies quickly and easily:
%28%282%5E3%29%5E6%2F%282%5E2%29%5E3%29+%2A+2%5E5
Now we start using our rules for exponents. The rule for powers of a power is to multiply the exponents:
%282%5E18%2F2%5E6%29+%2A+2%5E5
The rule for division is to subtract the exponents:
2%5E12+%2A+2%5E5
The rule for multiplication is to add the exponents:
2%5E17

P.S. Please include the instructions to the problem. What to do with an expression is not as obvious as you might think.

P.P.S Please post in an appropriate category. You posted this under "Equations". But there are no equations in this problem, just an expression. Problems posted in an appropriate category get quicker responses.

P.P.P.S. If the 2^5 was supposed to be in the denominator of the fraction, then please use parentheses around numerators and denominators. For example, the problem I did was the problem as you posted. To put the 2^5 in the denominator:
(8^6)/(4^3 * 2^5)