Algebra Examples

$2 \cdot 10^{4} - 7^{3}$

Step 1

Simplify each term.

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Step 1.1

Raise $7$ to the power of $3$ .

$2 \cdot 10^{4} - 1 \cdot 343$

Step 1.2

Multiply $- 1$ by $343$ .

$2 \cdot 10^{4} - 343$

Step 2

Convert $- 343$ to scientific notation.

$2 \cdot 10^{4} - 3.43 \cdot 10^{2}$

Step 3

Move the decimal point in $- 3.43$ to the left by $2$ places and increase the power of $10^{2}$ by $2$ .

$2 \cdot 10^{4} - 0.0343 \cdot 10^{4}$

Step 4

Factor $10^{4}$ out of $2 \cdot 10^{4} - 0.0343 \cdot 10^{4}$ .

$(2 - 0.0343) \cdot 10^{4}$

Step 5

Subtract $0.0343$ from $2$ .

$1.9657 \cdot 10^{4}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$1.9657 \cdot 10^{4}$

Expanded Form:

$19657$