Algebra Examples

$\frac{4^{- 8} \cdot 4^{0}}{4^{5}}$

Step 1

Multiply $4^{- 8}$ by $4^{0}$ by adding the exponents.

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Step 1.1

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

$\frac{4^{- 8 + 0}}{4^{5}}$

Step 1.2

Add $- 8$ and $0$ .

$\frac{4^{- 8}}{4^{5}}$

Step 2

Move $4^{- 8}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{4^{5} \cdot 4^{8}}$

Step 3

Multiply $4^{5}$ by $4^{8}$ by adding the exponents.

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Step 3.1

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

$\frac{1}{4^{5 + 8}}$

Step 3.2

Add $5$ and $8$ .

$\frac{1}{4^{13}}$

Step 4

Raise $4$ to the power of $13$ .

$\frac{1}{67108864}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{67108864}$

Decimal Form:

$1.49011611 \cdot 10^{- 8}$