Shoe the correct solution to evaluate 4 raised to the power of 3 devide 4 raised to the power of 5

EVALUATION

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Solve:

"4 raised to the power of 3 divide 4 raised to the power of 5"

[tex] \large\implies \sf \huge \frac{ {4}^{3} }{ {4}^{5} } [/tex]

[tex] \: [/tex]

Following the law of exponent.

"When dividing two similar terms, Subtract its exponents"

[tex] \large\tt \red{sample} \begin{cases} \sf \huge\frac{ {a}^{n} }{ {a}^{m} } = {a}^{n - m}\end{cases}[/tex]

[tex] \large\implies \sf \huge \frac{ {4}^{3} }{ {4}^{5} } = {4}^{3 - 5} [/tex]

[tex] \large\implies \sf \huge {4}^{ - 2} [/tex]

[tex] \: [/tex]

Note that there are no negative exponents, convert it by making it the divisor of 1.

[tex] \large\implies \sf \huge {4}^{ - 2} = \frac{1}{ {4}^{2} } [/tex]

[tex] \: [/tex]

Final Answer:

[tex] \large\implies \sf \huge \orange{ \frac{1}{16} }[/tex]

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