Algebra Examples

$2^{4} - \frac{1}{2^{- 3}} + 5 x^{0} - {(3 x^{0} y^{2})}^{0}$

Step 1

Simplify each term.

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Step 1.1

Raise $2$ to the power of $4$ .

$16 - \frac{1}{2^{- 3}} + 5 x^{0} - {(3 x^{0} y^{2})}^{0}$

Step 1.2

Move $2^{- 3}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$16 - 2^{3} + 5 x^{0} - {(3 x^{0} y^{2})}^{0}$

Step 1.3

Raise $2$ to the power of $3$ .

$16 - 1 \cdot 8 + 5 x^{0} - {(3 x^{0} y^{2})}^{0}$

Step 1.4

Multiply $- 1$ by $8$ .

$16 - 8 + 5 x^{0} - {(3 x^{0} y^{2})}^{0}$

Step 1.5

Anything raised to $0$ is $1$ .

$16 - 8 + 5 \cdot 1 - {(3 x^{0} y^{2})}^{0}$

Step 1.6

Multiply $5$ by $1$ .

$16 - 8 + 5 - {(3 x^{0} y^{2})}^{0}$

Step 1.7

Anything raised to $0$ is $1$ .

$16 - 8 + 5 - {(3 \cdot 1 y^{2})}^{0}$

Step 1.8

Multiply $3$ by $1$ .

$16 - 8 + 5 - {(3 y^{2})}^{0}$

Step 1.9

Apply the product rule to $3 y^{2}$ .

$16 - 8 + 5 - (3^{0} {(y^{2})}^{0})$

Step 1.10

Anything raised to $0$ is $1$ .

$16 - 8 + 5 - (1 {(y^{2})}^{0})$

Step 1.11

Multiply ${(y^{2})}^{0}$ by $1$ .

$16 - 8 + 5 - {(y^{2})}^{0}$

Step 1.12

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

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Step 1.12.1

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

$16 - 8 + 5 - y^{2 \cdot 0}$

Step 1.12.2

Multiply $2$ by $0$ .

$16 - 8 + 5 - y^{0}$

Step 1.13

Anything raised to $0$ is $1$ .

$16 - 8 + 5 - 1 \cdot 1$

Step 1.14

Multiply $- 1$ by $1$ .

$16 - 8 + 5 - 1$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $8$ from $16$ .

$8 + 5 - 1$

Step 2.2

Add $8$ and $5$ .

$13 - 1$

Step 2.3

Subtract $1$ from $13$ .

$12$