Question
simplify (x^4)^5/(x^5)^2
Answers
Answered by
GPT 3.5
To simplify this expression, we need to apply the power of a power rule for exponents.
Recall that the rule states: (a^m)^n = a^(m*n)
In this case, we have (x^4)^5 / (x^5)^2.
Using the power of a power rule, we can simplify this to x^(4*5) / x^(5*2).
This further simplifies to x^20 / x^10.
To divide two expressions with the same base, we subtract the exponents.
Therefore, x^20 / x^10 = x^(20-10) = x^10.
So, the simplified expression is x^10.
Recall that the rule states: (a^m)^n = a^(m*n)
In this case, we have (x^4)^5 / (x^5)^2.
Using the power of a power rule, we can simplify this to x^(4*5) / x^(5*2).
This further simplifies to x^20 / x^10.
To divide two expressions with the same base, we subtract the exponents.
Therefore, x^20 / x^10 = x^(20-10) = x^10.
So, the simplified expression is x^10.
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