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simplify to a single power.4 to the power of 74 to the power of 2

Sagot :

Given: The expression below:

[tex]\frac{4^7}{4^2}[/tex]

To Determine: The simplification of the given expression

Using the exponet rule below

[tex]\frac{a^x}{a^y}=a^{x-y}[/tex]

Apply the exponent rule to the given statement

[tex]\begin{gathered} \frac{4^7}{4^2}=4^{7-2} \\ 4^{7-2}=4^5 \end{gathered}[/tex]

Hence, the simplification of the given expression to a single power is

4⁵