-----> A<span>ny number at all with a 0 exponent is 1; anything with a -ve exponent means "1 over" i.e. 5^-1 means 1/5, 23^-4 means 1/23^4 etc.
</span>----->A number to the power of zero is always 1
<span>A number to the power of a negative number such as 2^-4 is always the reciprocal to the power of 4 so 2^-4 is in fact (1/2) ^4 = 1/2^4 </span>
<span>3^-3/4 is (1/3)^3/4 </span>
<span>(4/9)^-3/5 is (9/4)^3/5
</span>
--->Any number with a zero exponent is equal to 1. A number n to the -x is equal to 1/(n^x)<span>
To simplify a negative exponent expression , I attached an example it is easier that way :)
Hope that helps.xoxo
</span>
Answer:
y = 1.44x⁴
Step-by-step explanation:
From the question,
Y∝d²
To remove the proportionality sign we introduce a constant.
Y = kd²............... Equation 1
make k the subject of the equation
k = Y/d²............. Equation 2
Given: Y = 4, d = 10
Substitute these values into equation 2
k = 4/10²
k = 4/100
k = 0.04
Substitute these value of k in equation 1
Y = 0.04d²................ Equation 3
Similarly,
d∝x²,
d = Cx²
make C the subject of the equation
C = d/x²................... Equation 4
Given: d = 24, x = 2
Substitute into equation 4
C = 24/2²
C = 24/4
C = 6
Hence,
d = 6x²................... Equation 5
Substitute the value of d in equation 5 into equation 3
y = 0.04(6x²)²
y = 0.04(36x⁴)
y = 1.44x⁴
Hence the formula for y in terms of x is y = 1.44x⁴
Answer: I belive its the first one Good Luck
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Just divide 4 by .25, and you get 16
Hopefully this helps, let me know if you have any other questions!