Solve 15abc . 17a ^ 3 * b ^ 4 * 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

$$15 a b c \cdot 17 a ^ { 3 } b ^ { 4 } c ^ { 2 } =$$

Evaluate

$255c^{3}a^{4}b^{5}$

Solution Steps

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

$$15a^{4}bc\times 17b^{4}c^{2}$$

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

$$15a^{4}b^{5}c\times 17c^{2}$$

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

$$15a^{4}b^{5}c^{3}\times 17$$

Multiply $15$ and $17$ to get $255$.

$$255a^{4}b^{5}c^{3}$$

Differentiate w.r.t. a

$1020b^{5}\left(ac\right)^{3}$