The prove that the value of the expression : 38^9–38^8 is divisible by 37 is 38 ÷ 37
Given:
38^9–38^8 is divisible by 37
[tex] {38}^{9} - {38}^{8} \div 37[/tex]
=
The exponents in scientific notation should be added or subtracted
[tex] = {38}^{9 - 8} \div (38 - 1)[/tex]
= 38¹ ÷ 37
= 38 ÷ 37
Therefore, the expression : 38^9–38^8 is divisible by 37 is 38 ÷ 37
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