Answer:
f(x) = 
is the simplest expression
Step-by-step explanation:
We are given an expression and we are supposed to find the simplest form of the given expression.
The given expression is
f(x) = ![\sqrt[3]{4x^{2} } \times \sqrt[3]{8x^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4x%5E%7B2%7D%20%7D%20%5Ctimes%20%5Csqrt%5B3%5D%7B8x%5E%7B7%7D%20%7D)
Since the cube root is common we can multiply the quotient inside the radical sign.
f(x) = ![\sqrt[3]{32x^{(2+7)} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E%7B%282%2B7%29%7D%20%7D)
= ![\sqrt[3]{32x^{9} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E%7B9%7D%20%7D)
= 
=
f(x) = is the simplest expression
Let's raise the exponent three on both sides of the equation.
1/x^2 = (x^m)^3
1/x^2 = x^(3m)
1 = x^2.x^(3m)
1 = x^(2+3m)
X^(2+3m) = 1
For this to be true:
2+3m = 0
3m = -2
m = -2/3
Answer:
a) 3
b) 15
c) 5
d) 9
e) 5
f) 2
Step-by-step explanation:
How you will put it in the box below:
3, 15, 5, 9, 5, 2
Multiply 24 60 minute hours
Multiply that by 60 seconds
1.16 beats per sec
Answer:
1.5 or 1/5
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
