Solve for M M=(15^22549)/(35^2*45^2)

$M = \frac{15^{2} \cdot 25 \cdot 49}{35^{2} \cdot 45^{2}}$

Step 1

Multiply $49$ by $25$ .

$M = \frac{15^{2} \cdot 1225}{35^{2} \cdot 45^{2}}$

Step 2

Simplify the denominator.

Raise $35$ to the power of $2$ .

$M = \frac{15^{2} \cdot 1225}{1225 \cdot 45^{2}}$

Raise $45$ to the power of $2$ .

$M = \frac{15^{2} \cdot 1225}{1225 \cdot 2025}$

Step 3

Reduce the expression by cancelling the common factors.

Raise $15$ to the power of $2$ .

$M = \frac{225 \cdot 1225}{1225 \cdot 2025}$

Multiply.

Multiply $1225$ by $2025$ .

$M = \frac{225 \cdot 1225}{2480625}$

Multiply $225$ by $1225$ .

$M = \frac{275625}{2480625}$

Cancel the common factor of $275625$ and $2480625$ .

Factor $275625$ out of $275625$ .

$M = \frac{275625 (1)}{2480625}$

Cancel the common factors.

Factor $275625$ out of $2480625$ .

$M = \frac{275625 \cdot 1}{275625 \cdot 9}$

Cancel the common factor.

$M = \frac{275625 \cdot 1}{275625 \cdot 9}$

Rewrite the expression.

$M = \frac{1}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$M = \frac{1}{9}$

Decimal Form:

$M = 0.\overline{1}$

Solve for M M=(15^2*25*49)/(35^2*45^2)