Answered

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What is the value of b in the equation (y)*
1
(*)" - ?
у24
-20
О 6
ООО
6
20
HELPPPPPP

What Is The Value Of B In The Equation Y 1 У24 20 О 6 ООО 6 20 HELPPPPPP class=

Sagot :

sissyrose

Answer:

b = -6

Step-by-step explanation:

Apply the exponent rule that   [tex]\frac{1}{x^{n}} = x^{-n}[/tex]

In this case, [tex]\frac{1}{y^{24}} = y^{-24}[/tex]

Set that equal to [tex](y^{b})^{4}[/tex]:

[tex](y^{b})^{4} = y^{-24}[/tex]

Apply the exponent rule that [tex](x^{m})^{n} = x^{mn}[/tex] so now you get:

[tex]y^{4b} = y^{-24}[/tex]

Since the base is y for both sides of the equation, just set the exponents equal to each other and solve for b.

4b = -24

divide each side by 4 to get:

b = -6

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