Basic Math Examples

$8^{\frac{2}{3}} \cdot 4^{0}$

Step 1

Simplify the expression.

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Step 1.1

Rewrite $8$ as $2^{3}$ .

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

Step 1.2

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

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

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

$2^{2} \cdot 4^{0}$

Step 3

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

$4 \cdot 4^{0}$

Step 4

Multiply $4$ by $4^{0}$ by adding the exponents.

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Step 4.1

Multiply $4$ by $4^{0}$ .

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Step 4.1.1

Raise $4$ to the power of $1$ .

$4^{1} \cdot 4^{0}$

Step 4.1.2

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

$4^{1 + 0}$

Step 4.2

Add $1$ and $0$ .

$4^{1}$

Step 5

Simplify $4^{1}$ .

$4$