00:01
We need to simplify the following expression by applying the rules of exponents.
00:05
So the first parentheses, we're going to apply the five exponent to everything inside the parentheses.
00:10
So that's going to become 2 to raise to the fifth power, c cubed raised to the fifth power, d squared raised to the fifth power.
00:19
Our second fraction, the three is going to be applied to everything inside that parentheses.
00:23
So we have c to the sixth power, raised to the third power, d to the eighth power raised to the third power divided by four raised to the third power, c squared raised to the third power, and d raised to the third power.
00:38
So we go ahead and simplify two to the fifth power becomes 32.
00:42
When we have c to the third power, raise to the fifth power, we multiply the exponent, so that becomes c to the 15th power, d to the 10th power.
00:51
We have c to the 18th power, d to the 24th power.
00:55
That divided by, 4 to the third power becomes 64, c to the 6th power, and d to the third power.
01:04
So now we're going to multiply on the top of part of the fraction to simplify.
01:11
The 32 is going to stay at 32...