Algebra Examples

$x^{4} y^{3} \cdot {(2 y^{2})}^{0}$

Step 1

Apply the product rule to $2 y^{2}$ .

$x^{4} y^{3} \cdot (2^{0} {(y^{2})}^{0})$

Step 2

Rewrite using the commutative property of multiplication.

$2^{0} x^{4} y^{3} {(y^{2})}^{0}$

Step 3

Anything raised to $0$ is $1$ .

$1 x^{4} y^{3} {(y^{2})}^{0}$

Step 4

Multiply $x^{4}$ by $1$ .

$x^{4} y^{3} {(y^{2})}^{0}$

Step 5

Multiply the exponents in ${(y^{2})}^{0}$ .

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Step 5.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$x^{4} y^{3} y^{2 \cdot 0}$

Step 5.2

Multiply $2$ by $0$ .

$x^{4} y^{3} y^{0}$

Step 6

Multiply $y^{3}$ by $y^{0}$ by adding the exponents.

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Step 6.1

Move $y^{0}$ .

$x^{4} (y^{0} y^{3})$

Step 6.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{4} y^{0 + 3}$

Step 6.3

Add $0$ and $3$ .

$x^{4} y^{3}$