Question

$find \: x \: if \: {5}^{9} \div (5 )3 - x = 510$
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Answer 1

Question:

Find the value of x if $5^9\div5^3-x=510$

Identity Used:

$a^m\div a^n=a^{m-n}$

Solution:

$5^9\div5^3-x=510\\\\\\a^m\div a^n=a^{m-n}\\\\\\5^{9-3}-x=510\\\\\\5^6-x=510\\\\\\15625-x=510\\\\\\15625-510=x\\\\\\x=15625-510\\\\\\x=15115\\\\\\\boxed{x=15115}$

Answer:

x = 15115

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