Pre-Algebra Examples

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

Step 1

Rewrite $9$ as $3^{2}$ .

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

Step 2

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

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

Step 3

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

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

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 $1$ .

$1$