Algebra Examples

$T = \frac{36 \cdot 10^{2} \cdot 27}{6^{4} \cdot 5}$

Step 1

Multiply $36$ by $27$ .

$T = \frac{972 \cdot 10^{2}}{6^{4} \cdot 5}$

Step 2

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

$T = \frac{972 \cdot 10^{2}}{1296 \cdot 5}$

Step 3

Multiply $1296$ by $5$ .

$T = \frac{972 \cdot 10^{2}}{6480}$

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.

$T = (\frac{972}{6480}) (\frac{10^{2}}{1})$

Step 4.2

Divide $972$ by $6480$ .

$T = 0.15 \frac{10^{2}}{1}$

Step 4.3

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

$T = 0.15 \cdot 10^{2}$

Step 5

Move the decimal point in $0.15$ to the right by $1$ place and decrease the power of $10^{2}$ by $1$ .

$T = 1.5 \cdot 10^{1}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$T = 1.5 \cdot 10^{1}$

Expanded Form:

$T = 15$