Chapter 7.3, Problem 55P

Simplify each expression.

$4a\left(0^{\frac{1}{2}}\right)b^4{(-b)}^{-7}$

To determine

To simplify the expression $4a{\left(0\right)}^{\frac{1}{2}}{b}^4{\left(-b\right)}^{-7}$

Answer to Problem 55P

  $4a{\left(0\right)}^{\frac{1}{2}}{b}^4{\left(-b\right)}^{-7}=0$

Explanation of Solution

Given information :

Given expression $4a{\left(0\right)}^{\frac{1}{2}}{b}^4{\left(-b\right)}^{-7}$

Since ${\left(0\right)}^{\frac{1}{2}}=0$

Now consider $4a{\left(0\right)}^{\frac{1}{2}}{b}^4{\left(-b\right)}^{-7}=0\times \left(4a{b}^4{\left(-b\right)}^{-7}\right)$

  $\therefore 4a{\left(0\right)}^{\frac{1}{2}}{b}^4{\left(-b\right)}^{-7}=0$

Hence, $4a{\left(0\right)}^{\frac{1}{2}}{b}^4{\left(-b\right)}^{-7}=0$