Solve for T T=(50010^281)/(6^4*5^4)

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

Step 1

Multiply $500$ by $81$ .

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

Step 2

Simplify the denominator.

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

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

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.

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

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

Divide $40500$ by $810000$ .

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

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.

$T = 5$

Solve for T T=(500*10^2*81)/(6^4*5^4)