Algebra Examples

$T = \frac{500 \cdot 10^{2} \cdot 81}{6^{4} \cdot 5^{4}}$

Step 1

Multiply $500$ by $81$ .

$T = \frac{40500 \cdot 10^{2}}{6^{4} \cdot 5^{4}}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $6$ to the power of $4$ .

$T = \frac{40500 \cdot 10^{2}}{1296 \cdot 5^{4}}$

Step 2.2

Raise $5$ to the power of $4$ .

$T = \frac{40500 \cdot 10^{2}}{1296 \cdot 625}$

Step 3

Multiply $1296$ by $625$ .

$T = \frac{40500 \cdot 10^{2}}{810000}$

Step 4

Divide using scientific notation.

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Step 4.1

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

$T = (\frac{40500}{810000}) (\frac{10^{2}}{1})$

Step 4.2

Divide $40500$ by $810000$ .

$T = 0.05 \frac{10^{2}}{1}$

Step 4.3

Divide $10^{2}$ by $1$ .

$T = 0.05 \cdot 10^{2}$

Step 5

Move the decimal point in $0.05$ to the right by $2$ places and decrease the power of $10^{2}$ by $2$ .

$T = 5 \cdot 10^{0}$

Step 6

Convert $5 \cdot 10^{0}$ from scientific notation.

$T = 5$