Home > CCA2 > Chapter 6 > Lesson 6.2.1 > Problem6-99

6-99.

Consider the questions below.

1. What can you multiply $8$ by to get $1$?

$\frac{8}{1}\cdot\frac{?}{?}=\frac{1}{1}$

2. What can you multiply $x$ by to get $1$?

See part (a).

3. Using the rules of exponents, find a way to solve $m^8=40$. Remember that logarithms will not be useful here, but the exponent key on your calculator will be. (Obtain the answer as a decimal approximation using your calculator. Check your result by raising it to the 8th power.)

On your calculator, raise 40 to the $\left(\frac{1}{8}\right)$ power.
Many calculators require the parentheses for this step.

4. Now solve $n^6=300$.

Use the method you found in part (c).

5. Describe a method for solving $x^a=b$ for $x$ with a calculator.

Generalize the method you found in part (c).