Finite Math Examples

${(\frac{1}{2})}^{\frac{6.48 \cdot 10^{7}}{4.9 \cdot 10^{7}}}$

Step 1

Divide using scientific notation.

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Step 1.1

Group coefficients together and exponents together to divide numbers in scientific notation.

${(\frac{1}{2})}^{(\frac{6.48}{4.9}) (\frac{10^{7}}{10^{7}})}$

Step 1.2

Divide $6.48$ by $4.9$ .

${(\frac{1}{2})}^{1.32244897 \frac{10^{7}}{10^{7}}}$

Step 1.3

Subtract the exponent from the denominator from the exponent of the numerator for the same base

${(\frac{1}{2})}^{1.32244897 \cdot 10^{7 + 7 \cdot - 1}}$

Step 1.4

Multiply $7$ by $- 1$ .

${(\frac{1}{2})}^{1.32244897 \cdot 10^{7 - 7}}$

Step 1.5

Subtract $7$ from $7$ .

${(\frac{1}{2})}^{1.32244897 \cdot 10^{0}}$

Step 2

Convert $1.32244897 \cdot 10^{0}$ from scientific notation.

${(\frac{1}{2})}^{1.32244897}$

Step 3

Apply the product rule to $\frac{1}{2}$ .

$\frac{1^{1.32244897}}{2^{1.32244897}}$

Step 4

One to any power is one.

$\frac{1}{2^{1.32244897}}$

Step 5

Raise $2$ to the power of $1.32244897$ .

$\frac{1}{2.50090278}$

Step 6

Divide $1$ by $2.50090278$ .

$0.3998556$