Solve ((2)^(3)(w)^(2))^(4) | Equatix - Math Solver

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Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$${ \left( { 2 }^{ 3 } { w }^{ 2 } \right) }^{ 4 }$$

Evaluate

$4096w^{8}$

Solution Steps

Calculate $2$ to the power of $3$ and get $8$.

$$\left(8w^{2}\right)^{4}$$

Expand $\left(8w^{2}\right)^{4}$.

$$8^{4}\left(w^{2}\right)^{4}$$

To raise a power to another power, multiply the exponents. Multiply $2$ and $4$ to get $8$.

$$8^{4}w^{8}$$

Calculate $8$ to the power of $4$ and get $4096$.

$$4096w^{8}$$

Expand

$4096w^{8}$

Solution Steps

Calculate $2$ to the power of $3$ and get $8$.

$$\left(8w^{2}\right)^{4}$$

Expand $\left(8w^{2}\right)^{4}$.

$$8^{4}\left(w^{2}\right)^{4}$$

To raise a power to another power, multiply the exponents. Multiply $2$ and $4$ to get $8$.

$$8^{4}w^{8}$$

Calculate $8$ to the power of $4$ and get $4096$.

$$4096w^{8}$$