Solve - 4x * (5x ^ 3) ^ 2 | 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

$$-4x(5x^{3})^{2}$$

Evaluate

$-100x^{7}$

Solution Steps

Expand $\left(5x^{3}\right)^{2}$.

$$-4x\times 5^{2}\left(x^{3}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply $3$ and $2$ to get $6$.

$$-4x\times 5^{2}x^{6}$$

Calculate $5$ to the power of $2$ and get $25$.

$$-4x\times 25x^{6}$$

Multiply $-4$ and $25$ to get $-100$.

$$-100xx^{6}$$

To multiply powers of the same base, add their exponents. Add $1$ and $6$ to get $7$.

$$-100x^{7}$$

Expand

$-100x^{7}$

Solution Steps

Expand $\left(5x^{3}\right)^{2}$.

$$-4x\times 5^{2}\left(x^{3}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply $3$ and $2$ to get $6$.

$$-4x\times 5^{2}x^{6}$$

Calculate $5$ to the power of $2$ and get $25$.

$$-4x\times 25x^{6}$$

Multiply $-4$ and $25$ to get $-100$.

$$-100xx^{6}$$

To multiply powers of the same base, add their exponents. Add $1$ and $6$ to get $7$.

$$-100x^{7}$$