Pre-Algebra Examples

43

$43$ ,

0 + 36 {(9)}^{\frac{3}{2}} + 21 (9)

$0 + 36 {(9)}^{\frac{3}{2}} + 21 (9)$

Step 1

Rewrite

9

$9$ as

3^{2}

$3^{2}$ .

43 + 0 + 36 {(3^{2})}^{\frac{3}{2}} + 21 (9)

$43 + 0 + 36 {(3^{2})}^{\frac{3}{2}} + 21 (9)$

Step 2

Apply the power rule and multiply exponents,

{(a^{m})}^{n} = a^{m n}

${(a^{m})}^{n} = a^{m n}$ .

43 + 0 + 36 \cdot 3^{2 (\frac{3}{2})} + 21 (9)

$43 + 0 + 36 \cdot 3^{2 (\frac{3}{2})} + 21 (9)$

Step 3

Cancel the common factor of

$2$ .

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Step 3.1

Cancel the common factor.

$43 + 0 + 36 \cdot 3^{2 (\frac{3}{2})} + 21 (9)$

Step 3.2

Rewrite the expression.

$43 + 0 + 36 \cdot 3^{3} + 21 (9)$

$43 + 0 + 36 \cdot 3^{3} + 21 (9)$

Step 4

Raise

$3$ to the power of

$3$ .

$43 + 0 + 36 \cdot 27 + 21 (9)$

Step 5

Multiply

$36$ by

$27$ .

$43 + 0 + 972 + 21 (9)$

Step 6

Multiply

$21$ by

$9$ .

$43 + 0 + 972 + 189$

Step 7

Add

$43$ and

$0$ .

$43 + 972 + 189$

Step 8

Add

$43$ and

$972$ .

$1015 + 189$

Step 9

Add

$1015$ and

$189$ .

$1204$

Step 10

Since there are no common prime factors, the GCF is

$1$ .

$1$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$