Solve ( v ) 7ab * (- 5)a * b ^ 2 * c * 6ab * c ^ 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

$$7 a b \times - 5 a b ^ { 2 } c \times 6 a b c ^ { 2 }$$

Evaluate

$-210b^{4}\left(ac\right)^{3}$

Solution Steps

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

$$7a^{2}b\left(-5\right)b^{2}c\times 6abc^{2}$$

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

$$7a^{3}b\left(-5\right)b^{2}c\times 6bc^{2}$$

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

$$7a^{3}b^{3}\left(-5\right)c\times 6bc^{2}$$

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

$$7a^{3}b^{4}\left(-5\right)c\times 6c^{2}$$

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

$$7a^{3}b^{4}\left(-5\right)c^{3}\times 6$$

Multiply $7$ and $-5$ to get $-35$.

$$-35a^{3}b^{4}c^{3}\times 6$$

Multiply $-35$ and $6$ to get $-210$.

$$-210a^{3}b^{4}c^{3}$$

Differentiate w.r.t. c

$-630c^{2}a^{3}b^{4}$