Answer:
16=24
Step-by-step explanation:
The first step to write any number in exponential form is to do the prime factorization of the given number. As we can see that 2 is multiplied 4 times so by using exponent we can write 16 as 24
Answer:
1. 8 p^19
2. -x^8
3. -2y^14
Step-by-step explanation:
1. 8p^15·(–p)^4
We can separate things inside the powers (ab)^x = a^x * b^x
8 p^15 * (-1)^4 p^4
We can add the exponents when the bases are the same x^a * x^b = x^(a+b)
8 p^ (15+4)
8 p^19
2.(-2x^2)^2*(-.25x^4)
We can separate things inside the powers (ab)^x = a^x * b^x
(-2)^2 (x^2)^2 (-1/4) x^4
4 x^4 -1/4 x^4
We can add the exponents when the bases are the same x^a * x^b = x^(a+b)
4 * -1/4 x^ (4+4)
-x^8
3.((-.5)y^4)^3*(16y^2)
We can separate things inside the powers (ab)^x = a^x * b^x
(-1/2) ^3 (y^4) ^3 (16) y^2
When a power is raised to a power, we multiply x^a^b = x^(ab)
-1/8 * y^(4*3) * 16 y^2
-1/8 *16 y^12 * y^2
We can add the exponents when the bases are the same x^a * x^b = x^(a+b)
-2 y^(12+2)
-2y^14
Answer:
4 sqrt(2) - sqrt(70)
Step-by-step explanation:
Simplify the following:
(4 sqrt(14) + 4 sqrt(10)) (3 sqrt(7) - 4 sqrt(5))
Factor 4 out of 4 sqrt(14) + 4 sqrt(10) giving 4 (sqrt(14) + sqrt(10)):
4 (sqrt(14) + sqrt(10)) (3 sqrt(7) - 4 sqrt(5))
(sqrt(10) + sqrt(14)) (3 sqrt(7) - 4 sqrt(5)) = sqrt(10) (-4 sqrt(5)) + sqrt(10)×3 sqrt(7) + sqrt(14) (-4 sqrt(5)) + sqrt(14)×3 sqrt(7) = -20 sqrt(2) + 3 sqrt(70) - 4 sqrt(70) + 21 sqrt(2) = sqrt(2) - sqrt(70):
Answer: 4 sqrt(2) - sqrt(70)
Answer:
2 24" X 24" square cakes are needed.
Step-by-step explanation:
This question is solved by proportions.
Area of a square:
The area of a square of side l is given by:
8" X 8" square cake serves 8 people
Thus:
Area of 64 serves 8 people, so for 1 people, an area of 64/8 = 8 is needed.
144 people
The total area needed is:
How many 24" X 24" square cakes?
24*24 = 576
1 cake - 576
x cakes - 1152
Applying cross multiplication:
1152/576 = 2
2 24" X 24" square cakes are needed.
