4/12/2020 Simplify 3.2 Download
Free simplify calculator - simplify algebraic expressions step-by-step This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy.
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The most important thing to know here is that dividing by a fraction is equivalent to multiplying by the fraction's reciprocal.The expression we have here can be written as:#=x^(3/2)-:3/2#Instead of dividing by the fraction #'3/2'#, we can instead multiply by its reciprocal, #'2/3'#.#=x^(3/2)xx2/3#This can be written as#=(2x^(3/2))/3#This is a fine simplification. However, if you want to simplify the fractional exponent, we can use the rule which states that#x^(a/b)=rootb(x^a)#Thus, the expression equals#=(2root2(x^3))/3=(2sqrt(x^3))/3#We could simplify #sqrt(x^3)# by saying that #sqrt(x^3)=sqrt(x^2)sqrtx=xsqrtx#.#=(2xsqrtx)/3#This really becomes a matter of opinion as to where you wish to stop simplifying.
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