Respuesta :
Answer:
1
Step-by-step explanation:
4^5 * 4^-7 = 4^-2
4^-2 / 4^-2 = 4^0
4^0 = 1
The solution of given expression is 1
What is expression ?
In math, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) Expressions can be thought of as similar to phrases. In language, a phrase on its own may include an action, but it doesn't make a complete sentence.
We have,
Expression = [tex]4^{5}[/tex] × [tex]4^{-7}[/tex] divided by [tex]4^{-2}[/tex]
According to the question,
[tex]4^{5}[/tex] × [tex]4^{-7}[/tex]/[tex]4^{-2}[/tex] = [tex]4^{5}[/tex] ×[tex]4^{-7}[/tex] × [tex]4^{2}[/tex]
= [tex]4^{5 -7 +2}[/tex]
= [tex]4^{7 - 7}[/tex]
= [tex]4^{0}[/tex]
= 1
Hence , the solution of given expression is 1
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