Answer:
369
Step-by-step explanation:
We have,
[tex] \tt \: 5^4 - 4^4[/tex]
[tex]\tt = (5^2)^2 - (4^2)^2[/tex]
We know that,
[tex]\boxed{\rm a^2-b^2 = (a+b)(a-b)}[/tex]
So,
[tex]\tt = (5^2+4^2)(5^2-4^2)[/tex]
[tex]\tt = (25+16)(25-16)[/tex]
[tex]\tt = 41×9= 369[/tex]
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Verified answer
Answer:
369
Step-by-step explanation:
We have,
[tex] \tt \: 5^4 - 4^4[/tex]
[tex]\tt = (5^2)^2 - (4^2)^2[/tex]
We know that,
[tex]\boxed{\rm a^2-b^2 = (a+b)(a-b)}[/tex]
So,
[tex]\tt = (5^2+4^2)(5^2-4^2)[/tex]
[tex]\tt = (25+16)(25-16)[/tex]
[tex]\tt = 41×9= 369[/tex]