Question

Describe the steps you would take to solve the given literal equation for m as shown.

Answer 1

For finding the given literal equation is necessary to apply the power 2 on both sides of the given equation and after that you should rewrite the equation as a function of the variable m .

Power Rules

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

The question gives: $t=2\pi *\sqrt{\frac{m}{k}}$ and from the previous equation, you should find $m=\frac{kt^2}{4\pi ^2}$.

STEP 1 - Applying the power 2 on both sides of the equation $t=2\pi *\sqrt{\frac{m}{k}}$.

$t=2\pi *\sqrt{\frac{m}{k}}\\ \\ t^2=(2\pi *\sqrt{\frac{m}{k}})^2\\ \\ t^2=4\pi ^2*\frac{m}{k}$

STEP 2 - Rewriting the equation  $t^2=4\pi ^2*\frac{m}{k}$  as a function of the variable m .

$t^2=4\pi ^2*\frac{m}{k}\\ \\ t^2k=4\pi ^2m\\ \\ m=\frac{kt^2}{4\pi ^2}$

Read more about power rules here:

brainly.com/question/12140519

#SPJ1