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

$243a^{5}$

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 $5$.

$$\left(3a\right)^{5}$$

Expand $\left(3a\right)^{5}$.

$$3^{5}a^{5}$$

Calculate $3$ to the power of $5$ and get $243$.

$$243a^{5}$$

Expand

$243a^{5}$

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 $5$.

$$\left(3a\right)^{5}$$

Expand $\left(3a\right)^{5}$.

$$3^{5}a^{5}$$

Calculate $3$ to the power of $5$ and get $243$.

$$243a^{5}$$