DhyanR130655 DhyanR130655

28-10-2022
Mathematics

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If c is a number with no exponent, what is the value of c in the equation below?[tex]\frac{ {4}^{7} }{ {4}^{3} } = {a}^{b} = c[/tex]

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ZavierW174863 ZavierW174863

28-10-2022

Answer:

c = 256

Explanation:

Given the equation:

[tex]\frac{ {4}^{7} }{ {4}^{3} }={a}^b=c[/tex]

We apply the division law of indices to obtain:

[tex]\frac{ {4}^{7} }{ {4}^{3} }={4^{7-3}=4^4=256}[/tex]

The value of c is 256.

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