Solve 3(a)^(3)(b)^(2)c.21(a)^(5)(b)^(3)(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

$$3 { a }^{ 3 } { b }^{ 2 } c.21 { a }^{ 5 } { b }^{ 3 } { c }^{ 2 }$$

Evaluate

$\frac{63c^{3}b^{5}a^{8}}{100}$

Solution Steps

To multiply powers of the same base, add their exponents. Add $3$ and $5$ to get $8$.

$$3a^{8}b^{2}c\times 0.21b^{3}c^{2}$$

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

$$3a^{8}b^{5}c\times 0.21c^{2}$$

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

$$3a^{8}b^{5}c^{3}\times 0.21$$

Multiply $3$ and $0.21$ to get $0.63$.

$$0.63a^{8}b^{5}c^{3}$$

Differentiate w.r.t. a

$\frac{126c^{3}b^{5}a^{7}}{25}$