What is [tex]1024[/tex] to the power of [tex]-\frac{1}{5}[/tex]?
Answer (2)
2^10=1024
(a^m)^n=a^(m*n)
(2^(10))^(-1/5)
=2^(-10/5)
=2^(-2)
=1/4 (As the inverse of 2^2 is 1/4)
The value of 102 4 − 5 1 is 4 1 . This is derived by rewriting 1024 as 2 10 and applying the rules of exponents. Ultimately, this simplifies to 2 − 2 , which equals 4 1 .
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