<h3>Given</h3>
... f(x) = 4^x
<h3>Find</h3>
... x for f(x) = 64
<h3>Solution</h3>
Rewrite 64 as a power of 4, then equate exponents.
... 64 = 4^x
... 4^3 = 4^x
... 3 = x
The store sells 64 caps in month 3.
Answer:
B. x = 5 and y = -13
Step-by-step explanation:
Subtract the constant on the left:
... (x +yi) = (9 -4i) -(4 +9i)
... = (9 -4 +i(-4-9))
... = 5 -13i
Matching real and imaginary parts, we see that ...
... x = 5, y = -13
Percent x Whole= Part
60% x 65= p
60/100x65= p
.60 x 65= 39
p=39
I hope this helps!
~kaikers
ANSWER
A.
![\frac{1}{64}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B64%7D%20)
EXPLANATION
The given expression is:
![{4}^{ - \frac{11}{3} } \div {4}^{ - \frac{2}{3} }](https://tex.z-dn.net/?f=%20%7B4%7D%5E%7B%20-%20%20%5Cfrac%7B11%7D%7B3%7D%20%7D%20%20%5Cdiv%20%7B4%7D%5E%7B%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20)
Recall that:
![{a}^{m} \div {a}^{n} = {a}^{m - n}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7Bm%7D%20%20%5Cdiv%20%7Ba%7D%5E%7Bn%7D%20%20%3D%20%7Ba%7D%5E%7Bm%20-%20n%7D%20)
We apply this property to obtain:
![{4}^{ - \frac{11}{3} } \div {4}^{ - \frac{2}{3} } = {4}^{ - \frac{11}{3} - - \frac{2}{3} }](https://tex.z-dn.net/?f=%7B4%7D%5E%7B%20-%20%20%5Cfrac%7B11%7D%7B3%7D%20%7D%20%20%5Cdiv%20%7B4%7D%5E%7B%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%20%3D%20%7B4%7D%5E%7B%20-%20%20%5Cfrac%7B11%7D%7B3%7D%20%20-%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20)
Collect LCM
![{4}^{ - \frac{11}{3} } \div {4}^{ - \frac{2}{3} } = {4}^{ \frac{ - 11 + 3}{3}}](https://tex.z-dn.net/?f=%7B4%7D%5E%7B%20-%20%20%5Cfrac%7B11%7D%7B3%7D%20%7D%20%20%5Cdiv%20%7B4%7D%5E%7B%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%20%3D%20%7B4%7D%5E%7B%20%5Cfrac%7B%20-%2011%20%2B%203%7D%7B3%7D%7D%20)
Simplify;
![{4}^{ - \frac{11}{3} } \div {4}^{ - \frac{2}{3} } = {4}^{ \frac{ - 9}{3}}](https://tex.z-dn.net/?f=%7B4%7D%5E%7B%20-%20%20%5Cfrac%7B11%7D%7B3%7D%20%7D%20%20%5Cdiv%20%7B4%7D%5E%7B%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%20%3D%20%7B4%7D%5E%7B%20%20%5Cfrac%7B%20-%209%7D%7B3%7D%7D%20)
.
![{4}^{ - \frac{11}{3} } \div {4}^{ - \frac{2}{3} } = {4}^{ - 3}](https://tex.z-dn.net/?f=%7B4%7D%5E%7B%20-%20%20%5Cfrac%7B11%7D%7B3%7D%20%7D%20%20%5Cdiv%20%7B4%7D%5E%7B%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%20%3D%20%7B4%7D%5E%7B%20-%203%7D%20)
![{4}^{ - \frac{11}{3} } \div {4}^{ - \frac{2}{3} } = \frac{1}{ {4}^{3} }](https://tex.z-dn.net/?f=%7B4%7D%5E%7B%20-%20%20%5Cfrac%7B11%7D%7B3%7D%20%7D%20%20%5Cdiv%20%7B4%7D%5E%7B%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7B4%7D%5E%7B3%7D%20%7D%20)
![{4}^{ - \frac{11}{3} } \div {4}^{ - \frac{2}{3} } = \frac{1}{64}](https://tex.z-dn.net/?f=%7B4%7D%5E%7B%20-%20%20%5Cfrac%7B11%7D%7B3%7D%20%7D%20%20%5Cdiv%20%7B4%7D%5E%7B%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%20%3D%20%20%20%5Cfrac%7B1%7D%7B64%7D%20)
The first choice is correct