Solve (6m)^(2)\div3m | Equatix

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$${ \left(6m \right) }^{ 2 } \div 3m$$

Evaluate

$12m^{3}$

Solution Steps

Expand $\left(6m\right)^{2}$.

$$\frac{6^{2}m^{2}}{3}m$$

Calculate $6$ to the power of $2$ and get $36$.

$$\frac{36m^{2}}{3}m$$

Divide $36m^{2}$ by $3$ to get $12m^{2}$.

$$12m^{2}m$$

To multiply powers of the same base, add their exponents. Add $2$ and $1$ to get $3$.

$$12m^{3}$$

Show Solution

Expand

$12m^{3}$

Solution Steps

Expand $\left(6m\right)^{2}$.

$$\frac{6^{2}m^{2}}{3}m$$

Calculate $6$ to the power of $2$ and get $36$.

$$\frac{36m^{2}}{3}m$$

Divide $36m^{2}$ by $3$ to get $12m^{2}$.

$$12m^{2}m$$

To multiply powers of the same base, add their exponents. Add $2$ and $1$ to get $3$.

$$12m^{3}$$

Show Solution

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Question

Evaluate

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Solution Steps