Solve (ab) ^ 5 * a ^ 3 * b ^ 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

$$(ab)^{5}\times a^{3}\times b^{2}$$

Evaluate

$b^{7}a^{8}$

Solution Steps

Expand $\left(ab\right)^{5}$.

$$a^{5}b^{5}a^{3}b^{2}$$

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

$$a^{8}b^{5}b^{2}$$

To multiply powers of the same base, add their exponents. Add $5$ and $2$ to get $7$.

$$a^{8}b^{7}$$

Expand

$b^{7}a^{8}$

Solution Steps

Expand $\left(ab\right)^{5}$.

$$a^{5}b^{5}a^{3}b^{2}$$

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

$$a^{8}b^{5}b^{2}$$

To multiply powers of the same base, add their exponents. Add $5$ and $2$ to get $7$.

$$a^{8}b^{7}$$