Solve (3x ^ 2 * y)(- 3x ^ 2 * y ^ 2)(- 3x * y ^ 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

$$(3x^{2}y)(-3x^{2}y^{2})(-3xy^{2})$$

Evaluate

$27\left(xy\right)^{5}$

Solution Steps

To multiply powers of the same base, add their exponents. Add $2$ and $2$ to get $4$.

$$3x^{4}y\left(-3\right)y^{2}\left(-3\right)xy^{2}$$

To multiply powers of the same base, add their exponents. Add $4$ and $1$ to get $5$.

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

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

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

To multiply powers of the same base, add their exponents. Add $3$ and $2$ to get $5$.

$$3x^{5}y^{5}\left(-3\right)\left(-3\right)$$

Multiply $3$ and $-3$ to get $-9$.

$$-9x^{5}y^{5}\left(-3\right)$$

Multiply $-9$ and $-3$ to get $27$.

$$27x^{5}y^{5}$$

Differentiate w.r.t. x

$135x^{4}y^{5}$