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Question
\frac{b^{6.3}}{18}
Simplify the expression
\frac{b^{6}\sqrt[10]{b^{3}}}{18}
Evaluate
\frac{b^{6.3}}{18}
Convert the decimal into a fraction
\frac{b^{\frac{63}{10}}}{18}
Solution
More Steps
Evaluate
b^{\frac{63}{10}}
\text{Use }{a}^{\frac{m}{n}}=\sqrt[n]{a^{m}}\text{ to transform the expression}
\sqrt[10]{b^{63}}
Rewrite the exponent as a sum
\sqrt[10]{b^{60+3}}
\text{Use }a^{m+n}=a^m \times a^n\text{ to expand the expression}
\sqrt[10]{b^{60}\times b^{3}}
The root of a product is equal to the product of the roots of each factor
\sqrt[10]{b^{60}}\times \sqrt[10]{b^{3}}
\text{Reduce the index of the radical and exponent with }10
b^{6}\sqrt[10]{b^{3}}
\frac{b^{6}\sqrt[10]{b^{3}}}{18}
Show Solutions
Find the roots
b=0
Evaluate
\frac{b^{6.3}}{18}
To find the roots of the expression,set the expression equal to 0
\frac{b^{6.3}}{18}=0
Find the domain
\frac{b^{6.3}}{18}=0,b\geq 0
Calculate
\frac{b^{6.3}}{18}=0
Convert the decimal into a fraction
\frac{b^{\frac{63}{10}}}{18}=0
Simplify
b^{\frac{63}{10}}=0
Evaluate the power
b=0
Check if the solution is in the defined range
b=0,b\geq 0
Solution
b=0
Show Solutions
