What are the values of a and b in the equation (4 x Superscript a Baseline) Superscript b Baseline = StartFraction 256 Over x Su
perscript 8 EndFraction?
a = 2, b = 4
a = negative 2, b = 4
a = negative 2, b = negative 4
a = 2, b = negative 4
2 answers:
Answer:
its b
Step-by-step explanation:
Answer:
a = negative 2, b = 4
Step-by-step explanation:
We want to find the value of a and b in the equation:
![(4 {x}^{a})^{b} = \frac{256}{ {x}^{8} }](https://tex.z-dn.net/?f=%284%20%7Bx%7D%5E%7Ba%7D%29%5E%7Bb%7D%20%20%3D%20%20%5Cfrac%7B256%7D%7B%20%7Bx%7D%5E%7B8%7D%20%7D%20)
We rewrite the RHS to get:
![(4 {x}^{a})^{b} = 256{x}^{ - 8}](https://tex.z-dn.net/?f=%284%20%7Bx%7D%5E%7Ba%7D%29%5E%7Bb%7D%20%20%3D%20%20256%7Bx%7D%5E%7B%20-%208%7D)
![(4 {x}^{a})^{b} = {4}^{4} {x}^{ - 8}](https://tex.z-dn.net/?f=%284%20%7Bx%7D%5E%7Ba%7D%29%5E%7Bb%7D%20%20%3D%20%20%20%7B4%7D%5E%7B4%7D%20%7Bx%7D%5E%7B%20-%208%7D)
![(4 {x}^{a})^{b} = ( {4} {x}^{ - 2})^{4}](https://tex.z-dn.net/?f=%284%20%7Bx%7D%5E%7Ba%7D%29%5E%7Bb%7D%20%20%3D%20%20%28%20%7B4%7D%20%7Bx%7D%5E%7B%20-%202%7D%29%5E%7B4%7D%20)
We now compare to have a=-2 and b=4
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