Solve (3a) ^ 4 * (3a) ^ 3 * (3a) ^ 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

$$(3a)^{4}\times(3a)^{3}\times(3a)^{2}$$

Evaluate

$19683a^{9}$

Solution Steps

To multiply powers of the same base, add their exponents. Add $4$ and $3$ to get $7$.

$$\left(3a\right)^{7}\times \left(3a\right)^{2}$$

To multiply powers of the same base, add their exponents. Add $7$ and $2$ to get $9$.

$$\left(3a\right)^{9}$$

Expand $\left(3a\right)^{9}$.

$$3^{9}a^{9}$$

Calculate $3$ to the power of $9$ and get $19683$.

$$19683a^{9}$$

Expand

$19683a^{9}$

Solution Steps

To multiply powers of the same base, add their exponents. Add $4$ and $3$ to get $7$.

$$\left(3a\right)^{7}\times \left(3a\right)^{2}$$

To multiply powers of the same base, add their exponents. Add $7$ and $2$ to get $9$.

$$\left(3a\right)^{9}$$

Expand $\left(3a\right)^{9}$.

$$3^{9}a^{9}$$

Calculate $3$ to the power of $9$ and get $19683$.

$$19683a^{9}$$