hi!
1) rewrite as a fraction
(2^4/2^2)^3
2) reduce the expression by cancelling out the common factors
so factor out 2^2 out of 2^4
3) multiply by 1 so,
(2^2 * 2^2/ 2^2 * 1)^3
4) continue to cancel out common factors the rewrite the expression to be
(2^2/1)^3
5) then divide 2^2 by 1 so, it will be (2^2)^3
6) lastly simplify the expression so apply the power rule and multiply so it will be 2^2*3
then it will be 2^6
and raise 2 to the power of 6 and you answer is 64
That triangular prism will be half the volume of the rectangular prism that's 7 by 6 by 8.
(7)(6)(8)/2 = 168 cubic units
Choice B
You just combine alike terms so 2 times 1 is 2 so it will be (3h times 2hcubed)squared
Answer:
see explaination
Step-by-step explanation:
length (l) = 2x+7
width (b) = 9x
area of rectangle = l×b
=(2x+7)(9x)
=18x^2+63x
perimeter of rectangle = 2(l+b)
=2(2x+7)(9x)
=2(18x^2+63x)
=36x^2+126x
To solve this problem, you must find a common denominator. First, you multiply the denominators together, then, multiply the numerator of the first fraction by the original denominator of the second fraction and vis-versa.
<span>3*4 = denominator of both
</span><span>2*4 = numerator of first fraction
</span><span>3*3 = numerator of second fraction
</span>
Your fractions should end up being 8/12 cups of raisins and 9/12 cup of almonds. You can now compare these fractions.
<span>Overall, there are 1/12 more almonds than raisins.</span>
