To simplify: The given expression sqrt{ssqrt{s^{3}}}

Ayaana Buck

Ayaana Buck

Answered question

2020-11-29

To simplify:
The given expression ss3

Answer & Explanation

Dora

Dora

Skilled2020-11-30Added 98 answers

Step 1
Law of exponents:
For any rational exponent mn in lowest terms, where m and n are integers and n>0, we define
amn=(n{a})m=n{am}
If n is even, then we require that a0
Step 2
Consider the given expression,
ss3
By using the law of exponents,
ss3=(ss3)12
=(s s32)12
Apply exponent rule: ab ac=ab+c, we get
=(s52)12
Apply exponent rule: (ab)c=abc, we get
=s5212
=s54
Final Statement:
The simplified form of ss3 is s54

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