The answer is:
Further explanation:
Given expression is a radical expression. Radical expressions involve fractional exponents.
<u>Given:</u>
![\sqrt[4]{16}\ *\ \sqrt[4]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D%5C%20%2A%5C%20%5Csqrt%5B4%5D%7B64%7D)
Factorizing 16 and 64
![=\sqrt[4]{2*2*2*2}*\sqrt[4]{2*2*2*2*2*2}\\=\sqrt[4]{2^4} *\sqrt[4]{2^4*2^2}\\Can\ also\ be\ written\ as\\=\sqrt[4]{2^4} *\sqrt[4]{2^4}*\sqrt[4]{2^2}\\={(2^4)}^{\frac{1}{4}}*{(2^4)}^{\frac{1}{4}}*{(2^2)}^{\frac{1}{4}}\\=2*2*{(2)}^{\frac{1}{2} }\\=4*\sqrt{2}\\=4\sqrt{2}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B4%5D%7B2%2A2%2A2%2A2%7D%2A%5Csqrt%5B4%5D%7B2%2A2%2A2%2A2%2A2%2A2%7D%5C%5C%3D%5Csqrt%5B4%5D%7B2%5E4%7D%20%2A%5Csqrt%5B4%5D%7B2%5E4%2A2%5E2%7D%5C%5CCan%5C%20also%5C%20be%5C%20written%5C%20as%5C%5C%3D%5Csqrt%5B4%5D%7B2%5E4%7D%20%2A%5Csqrt%5B4%5D%7B2%5E4%7D%2A%5Csqrt%5B4%5D%7B2%5E2%7D%5C%5C%3D%7B%282%5E4%29%7D%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%2A%7B%282%5E4%29%7D%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%2A%7B%282%5E2%29%7D%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%5C%5C%3D2%2A2%2A%7B%282%29%7D%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%5C%5C%3D4%2A%5Csqrt%7B2%7D%5C%5C%3D4%5Csqrt%7B2%7D)
The answer is:
Keywords: Radical expressions, Square root
Learn more about radical expressions at:
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Answer:
target speed for the marathon has been achieved and exceeded
Step-by-step explanation:
Given that :
Target speed = 25 mph
Current speed = 15 miles in 1/2 an hour
Current speed :
15 miles in 0.5 hours
X miles in 1 hour
0.5x = 15 miles
X = 15 / 0.5
X = 30 miles per hour
Hence, current speed in miles per hour = 30mph
This means that her target speed for the marathon has been achieved and exceeded
Answer:
y=3x
Step-by-step explanation:
A proportional situation is a situation the crosses through the origin or (0,0). This means its starting value for y-intercept value is 0. It has the form y=mx for this reason. The solution is y=3x.
1. g(-1) = -3
f(-3) = 2(-3) - 1 = -7
2. f o h(3) :-
h(3) = 3^2 + 1 = 10
f o h(3) = 2(10) - 1 = 19
3. f(-5) = -11
g(f(-5)) = g(-11) = -33
