Number Sense Drill 5 Problem 4. Which of the following is equivalent to the expression?
|Algebra||Multiplication and Division|
|CAHSEE Math||Number Sense|
|Number Sense||Exponent rules|
In these kinds of questions we are almost always being asked to convert to powers of
two... and this question is no exception. So we just convert everything to powers of
2 and rewrite it.
It will hurt a bit but the hard work is good for us. Yeah, feel the burn.
64 is 2 times 2 times 2 times 2 times 2 times 2... or 2 to the 6th.
32 is 2 to the 5th and 16 is 2 to the 4th.
The problem now looks like this:
Note also that when we have exponents in the denominator,
we can rewrite them as negative numbers...
...so let's rewrite the problem to account for the fractions.
Get rid of 'em like they're unwanted body fat...
and we now have a fully rewritten problem that looks like this:
First, we multiply the exponents that are being raised to another power like this.
Once we do that, we can add and subtract the exponents like this...
...and we get 6 minus 20 minus 20, which is negative 34, and woot, there we go --
it's answer B. Hope you remembered to stretch first.