Final answer to the problem
Step-by-step Solution
Specify the solving method
Simplify $\sqrt{x^{21}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $21$ and $n$ equals $\frac{1}{10}$
Learn how to solve algebraic expressions problems step by step online.
$f\left(x\right)=100x^{21\frac{1}{10}}+200\sqrt{x^7}-\sqrt[3]{x^2}-2$
Learn how to solve algebraic expressions problems step by step online. Simplify the expression f(x)=100x^21^1/10+200x^7^1/2-x^2^1/3+-2. Simplify \sqrt{x^{21}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 21 and n equals \frac{1}{10}. Multiply 21 times \frac{1}{10}. Simplify \sqrt{x^7} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 7 and n equals \frac{1}{2}. Simplify \sqrt{x^{21}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 21 and n equals \frac{1}{10}.