Solve 2a ^ - 1 * (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

$$2a^{-1}\times(3a)^{2}$$

Evaluate

$18a$

Solution Steps

Expand $\left(3a\right)^{2}$.

$$2a^{-1}\times 3^{2}a^{2}$$

Calculate $3$ to the power of $2$ and get $9$.

$$2a^{-1}\times 9a^{2}$$

Multiply $2$ and $9$ to get $18$.

$$18a^{-1}a^{2}$$

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

$$18a^{1}$$

Calculate $a$ to the power of $1$ and get $a$.

$$18a$$

Expand

$18a$

Solution Steps

Expand $\left(3a\right)^{2}$.

$$2a^{-1}\times 3^{2}a^{2}$$

Calculate $3$ to the power of $2$ and get $9$.

$$2a^{-1}\times 9a^{2}$$

Multiply $2$ and $9$ to get $18$.

$$18a^{-1}a^{2}$$

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

$$18a^{1}$$

Calculate $a$ to the power of $1$ and get $a$.

$$18a$$