Solve ((x)^(3)(y)^(5))^(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

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

Evaluate

$x^{15}y^{25}$

Solution Steps

Use the rules of exponents to simplify the expression.

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

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

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

To raise a power to another power, multiply the exponents.

$$x^{3\times 5}y^{5\times 5}$$

Multiply $3$ times $5$.

$$x^{15}y^{5\times 5}$$

Multiply $5$ times $5$.

$$x^{15}y^{25}$$

Expand

$x^{15}y^{25}$

Solution Steps

Use the rules of exponents to simplify the expression.

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

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

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

To raise a power to another power, multiply the exponents.

$$x^{3\times 5}y^{5\times 5}$$

Multiply $3$ times $5$.

$$x^{15}y^{5\times 5}$$

Multiply $5$ times $5$.

$$x^{15}y^{25}$$