$$ m imes m imes m^{2}=34 $$ Find $$ m $$

Question

$$ m 	imes m 	imes m^{2}=34 $$ Find $$ m $$

UpStudy AI · Accepted Answer

To find the value of $$ m $$ in the equation $$ m 	imes m 	imes m^{2}=34 $$, we can simplify the equation first and then solve for $$ m $$.

Given equation: $$ m 	imes m 	imes m^{2}=34 $$

Simplifying the equation:
$$ m^{3} 	imes m = 34 $$
$$ m^{4} = 34 $$

Now, we need to find the value of $$ m $$ that satisfies the equation $$ m^{4} = 34 $$.

Let's solve for $$ m $$.
Solve the equation by following steps:
- step0: Solve for $$m$$:
  $$m^{4}=34$$
- step1: Simplify the expression:
  $$m=\pm \sqrt[4]{34}$$
- step2: Separate into possible cases:
  $$\begin{align}&m=\sqrt[4]{34}\&m=-\sqrt[4]{34}\end{align}$$
- step3: Rewrite:
  $$m_{1}=-\sqrt[4]{34},m_{2}=\sqrt[4]{34}$$
The solutions for $$ m $$ are $$ m = -\sqrt[4]{34} $$ and $$ m = \sqrt[4]{34} $$.

Therefore, the values of $$ m $$ that satisfy the equation $$ m 	imes m 	imes m^{2}=34 $$ are $$ m = -\sqrt[4]{34} $$ and $$ m = \sqrt[4]{34} $$.
$$ m = \sqrt[4]{34} $$ or $$ m = -\sqrt[4]{34} $$

Find

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Algebra Questions