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

1. User Answers KAntoineDoix
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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