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What are the values of a and b in the equation (4 x Superscript a Baseline) Superscript b Baseline = StartFraction 256 Over x Superscript 8 EndFraction?
a = 2, b = 4
a = negative 2, b = 4
a = negative 2, b = negative 4
a = 2, b = negative 4

Respuesta :

kudzordzifrancis

Answer:

a = negative 2, b = 4

Step-by-step explanation:

We want to find the value of a and b in the equation:

[tex](4 {x}^{a})^{b} = \frac{256}{ {x}^{8} } [/tex]

We rewrite the RHS to get:

[tex](4 {x}^{a})^{b} = 256{x}^{ - 8}[/tex]

[tex](4 {x}^{a})^{b} = {4}^{4} {x}^{ - 8}[/tex]

[tex](4 {x}^{a})^{b} = ( {4} {x}^{ - 2})^{4} [/tex]

We now compare to have a=-2 and b=4

2sweaty4u

Answer:

(B) edge 2021

Step-by-step explanation:

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