Basic Math Examples

${(a^{b})}^{2} - {(a^{2})}^{b} + 2^{3}$

Step 1

Simplify each term.

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Step 1.1

Multiply the exponents in ${(a^{b})}^{2}$ .

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Step 1.1.1

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

$a^{b \cdot 2} - {(a^{2})}^{b} + 2^{3}$

Step 1.1.2

Move $2$ to the left of $b$ .

$a^{2 b} - {(a^{2})}^{b} + 2^{3}$

Step 1.2

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

$a^{2 b} - a^{2 b} + 2^{3}$

Step 1.3

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

$a^{2 b} - a^{2 b} + 8$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $a^{2 b}$ from $a^{2 b}$ .

$0 + 8$

Step 2.2

Add $0$ and $8$ .

$8$