Chapter 9.5, Problem 74S

To determine

Evaluate $a\left(b^x\right)$ for the given values $a=5,b=3,x=0$ .

Answer to Problem 74S

  $5$

Explanation of Solution

Given information:

  $a\left(b^x\right)$

  $a=5,b=3,x=0$ .

Concept Used:

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to solve the equation $a\left(b^x\right)$ , by putting the given values in the equation and then solving, that is multiplying 3 to 0 times because the value of b is 1 and the power of b is x and x is equal to 0 and then multiply by 5 because the value of a is 5 to simplify further as shown below:

  $\begin{array}{l}a\left(b^x\right)\\ a=5,b=3,x=0\\ 5\left(3^0\right)\\ =5\times 1\\ =5\end{array}$

Thus, the value of the equation is 5.