Solve ((2x ^ 5) ^ 2) / 4 * x | 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

$$(2x^{5})^{2}\div4x$$

Evaluate

$x^{11}$

Solution Steps

Expand $\left(2x^{5}\right)^{2}$.

$$\frac{2^{2}\left(x^{5}\right)^{2}}{4}x$$

To raise a power to another power, multiply the exponents. Multiply $5$ and $2$ to get $10$.

$$\frac{2^{2}x^{10}}{4}x$$

Calculate $2$ to the power of $2$ and get $4$.

$$\frac{4x^{10}}{4}x$$

Cancel out $4$ and $4$.

$$x^{10}x$$

To multiply powers of the same base, add their exponents. Add $10$ and $1$ to get $11$.

$$x^{11}$$

Expand

$x^{11}$

Solution Steps

Expand $\left(2x^{5}\right)^{2}$.

$$\frac{2^{2}\left(x^{5}\right)^{2}}{4}x$$

To raise a power to another power, multiply the exponents. Multiply $5$ and $2$ to get $10$.

$$\frac{2^{2}x^{10}}{4}x$$

Calculate $2$ to the power of $2$ and get $4$.

$$\frac{4x^{10}}{4}x$$

Cancel out $4$ and $4$.

$$x^{10}x$$

To multiply powers of the same base, add their exponents. Add $10$ and $1$ to get $11$.

$$x^{11}$$