Solve 6 * (r ^ - 9 * y ^ - 2 * z ^ 0) ^ - 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

$$6(r^{-9}y^{-2}z^{0})^{-2}$$

Evaluate

$6y^{4}r^{18}$

Solution Steps

Calculate $z$ to the power of $0$ and get $1$.

$$6\left(r^{-9}y^{-2}\times 1\right)^{-2}$$

Expand $\left(r^{-9}y^{-2}\times 1\right)^{-2}$.

$$6\left(r^{-9}\right)^{-2}\left(y^{-2}\right)^{-2}\times 1^{-2}$$

To raise a power to another power, multiply the exponents. Multiply $-9$ and $-2$ to get $18$.

$$6r^{18}\left(y^{-2}\right)^{-2}\times 1^{-2}$$

To raise a power to another power, multiply the exponents. Multiply $-2$ and $-2$ to get $4$.

$$6r^{18}y^{4}\times 1^{-2}$$

Calculate $1$ to the power of $-2$ and get $1$.

$$6r^{18}y^{4}\times 1$$

Multiply $6$ and $1$ to get $6$.

$$6r^{18}y^{4}$$

Expand

$6y^{4}r^{18}$

Solution Steps

Calculate $z$ to the power of $0$ and get $1$.

$$6\left(r^{-9}y^{-2}\times 1\right)^{-2}$$

Expand $\left(r^{-9}y^{-2}\times 1\right)^{-2}$.

$$6\left(r^{-9}\right)^{-2}\left(y^{-2}\right)^{-2}\times 1^{-2}$$

To raise a power to another power, multiply the exponents. Multiply $-9$ and $-2$ to get $18$.

$$6r^{18}\left(y^{-2}\right)^{-2}\times 1^{-2}$$

To raise a power to another power, multiply the exponents. Multiply $-2$ and $-2$ to get $4$.

$$6r^{18}y^{4}\times 1^{-2}$$

Calculate $1$ to the power of $-2$ and get $1$.

$$6r^{18}y^{4}\times 1$$

Multiply $6$ and $1$ to get $6$.

$$6r^{18}y^{4}$$