Solve axaxaxxxxxyxyxzxzxzx(-1) | 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

$$axaxaxxxxxyxyxzxzxzx(-1)$$

Evaluate

$-y^{2}\left(az\right)^{3}x^{12}$

Solution Steps

Multiply $a$ and $a$ to get $a^{2}$.

$$a^{2}xxaxxxxxyxyxzxzxzx\left(-1\right)$$

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

$$a^{3}xxxxxxxyxyxzxzxzx\left(-1\right)$$

Multiply $x$ and $x$ to get $x^{2}$.

$$a^{3}x^{2}xxxxxyxyxzxzxzx\left(-1\right)$$

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

$$a^{3}x^{3}xxxxyxyxzxzxzx\left(-1\right)$$

To multiply powers of the same base, add their exponents. Add $3$ and $1$ to get $4$.

$$a^{3}x^{4}xxxyxyxzxzxzx\left(-1\right)$$

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

$$a^{3}x^{5}xxyxyxzxzxzx\left(-1\right)$$

To multiply powers of the same base, add their exponents. Add $5$ and $1$ to get $6$.

$$a^{3}x^{6}xyxyxzxzxzx\left(-1\right)$$

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

$$a^{3}x^{7}yxyxzxzxzx\left(-1\right)$$

To multiply powers of the same base, add their exponents. Add $7$ and $1$ to get $8$.

$$a^{3}x^{8}yyxzxzxzx\left(-1\right)$$

To multiply powers of the same base, add their exponents. Add $8$ and $1$ to get $9$.

$$a^{3}x^{9}yyzxzxzx\left(-1\right)$$

To multiply powers of the same base, add their exponents. Add $9$ and $1$ to get $10$.

$$a^{3}x^{10}yyzzxzx\left(-1\right)$$

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

$$a^{3}x^{11}yyzzzx\left(-1\right)$$

To multiply powers of the same base, add their exponents. Add $11$ and $1$ to get $12$.

$$a^{3}x^{12}yyzzz\left(-1\right)$$

Multiply $y$ and $y$ to get $y^{2}$.

$$a^{3}x^{12}y^{2}zzz\left(-1\right)$$

Multiply $z$ and $z$ to get $z^{2}$.

$$a^{3}x^{12}y^{2}z^{2}z\left(-1\right)$$

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

$$a^{3}x^{12}y^{2}z^{3}\left(-1\right)$$

Differentiate w.r.t. x

$-12y^{2}\left(az\right)^{3}x^{11}$