Solve ((3b ^ 2 * y ^ 3)/(b ^ - 1)) ^ - 5 | 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

$$(\frac{3b^{2}y^{3}}{b^{-1}})^{-5}$$

Evaluate

$\frac{1}{243\left(by\right)^{15}}$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\left(3b^{3}y^{3}\right)^{-5}$$

Expand $\left(3b^{3}y^{3}\right)^{-5}$.

$$3^{-5}\left(b^{3}\right)^{-5}\left(y^{3}\right)^{-5}$$

To raise a power to another power, multiply the exponents. Multiply $3$ and $-5$ to get $-15$.

$$3^{-5}b^{-15}\left(y^{3}\right)^{-5}$$

To raise a power to another power, multiply the exponents. Multiply $3$ and $-5$ to get $-15$.

$$3^{-5}b^{-15}y^{-15}$$

Calculate $3$ to the power of $-5$ and get $\frac{1}{243}$.

$$\frac{1}{243}b^{-15}y^{-15}$$

Expand

$\frac{1}{243\left(by\right)^{15}}$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\left(3b^{3}y^{3}\right)^{-5}$$

Expand $\left(3b^{3}y^{3}\right)^{-5}$.

$$3^{-5}\left(b^{3}\right)^{-5}\left(y^{3}\right)^{-5}$$

To raise a power to another power, multiply the exponents. Multiply $3$ and $-5$ to get $-15$.

$$3^{-5}b^{-15}\left(y^{3}\right)^{-5}$$

To raise a power to another power, multiply the exponents. Multiply $3$ and $-5$ to get $-15$.

$$3^{-5}b^{-15}y^{-15}$$

Calculate $3$ to the power of $-5$ and get $\frac{1}{243}$.

$$\frac{1}{243}b^{-15}y^{-15}$$